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Simplifying 12(2x + -8) = 4(5 + -2x) + 3(7 + -3x) * fraction Reorder the terms: 12(-8 + 2x) = 4(5 + -2x) + 3(7 + -3x) * fraction (-8 * 12 + 2x * 12) = 4(5 + -2x) + 3(7 + -3x) * fraction (-96 + 24x) = 4(5 + -2x) + 3(7 + -3x) * fraction -96 + 24x = (5 * 4 + -2x * 4) + 3(7 + -3x) * fraction -96 + 24x = (20 + -8x) + 3(7 + -3x) * fraction Reorder the terms for easier multiplication: -96 + 24x = 20 + -8x + 3acfinort(7 + -3x) -96 + 24x = 20 + -8x + (7 * 3acfinort + -3x * 3acfinort) -96 + 24x = 20 + -8x + (21acfinort + -9acfinortx) Reorder the terms: -96 + 24x = 20 + 21acfinort + -9acfinortx + -8x Solving -96 + 24x = 20 + 21acfinort + -9acfinortx + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9acfinortx' to each side of the equation. -96 + 9acfinortx + 24x = 20 + 21acfinort + -9acfinortx + 9acfinortx + -8x Combine like terms: -9acfinortx + 9acfinortx = 0 -96 + 9acfinortx + 24x = 20 + 21acfinort + 0 + -8x -96 + 9acfinortx + 24x = 20 + 21acfinort + -8x Add '8x' to each side of the equation. -96 + 9acfinortx + 24x + 8x = 20 + 21acfinort + -8x + 8x Combine like terms: 24x + 8x = 32x -96 + 9acfinortx + 32x = 20 + 21acfinort + -8x + 8x Combine like terms: -8x + 8x = 0 -96 + 9acfinortx + 32x = 20 + 21acfinort + 0 -96 + 9acfinortx + 32x = 20 + 21acfinort Add '96' to each side of the equation. -96 + 9acfinortx + 96 + 32x = 20 + 96 + 21acfinort Reorder the terms: -96 + 96 + 9acfinortx + 32x = 20 + 96 + 21acfinort Combine like terms: -96 + 96 = 0 0 + 9acfinortx + 32x = 20 + 96 + 21acfinort 9acfinortx + 32x = 20 + 96 + 21acfinort Combine like terms: 20 + 96 = 116 9acfinortx + 32x = 116 + 21acfinort Reorder the terms: -116 + -21acfinort + 9acfinortx + 32x = 116 + 21acfinort + -116 + -21acfinort Reorder the terms: -116 + -21acfinort + 9acfinortx + 32x = 116 + -116 + 21acfinort + -21acfinort Combine like terms: 116 + -116 = 0 -116 + -21acfinort + 9acfinortx + 32x = 0 + 21acfinort + -21acfinort -116 + -21acfinort + 9acfinortx + 32x = 21acfinort + -21acfinort Combine like terms: 21acfinort + -21acfinort = 0 -116 + -21acfinort + 9acfinortx + 32x = 0 The solution to this equation could not be determined.
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