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Simplifying 4(3x + -3) = 8(4x + -4) Reorder the terms: 4(-3 + 3x) = 8(4x + -4) (-3 * 4 + 3x * 4) = 8(4x + -4) (-12 + 12x) = 8(4x + -4) Reorder the terms: -12 + 12x = 8(-4 + 4x) -12 + 12x = (-4 * 8 + 4x * 8) -12 + 12x = (-32 + 32x) Solving -12 + 12x = -32 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -12 + 12x + -32x = -32 + 32x + -32x Combine like terms: 12x + -32x = -20x -12 + -20x = -32 + 32x + -32x Combine like terms: 32x + -32x = 0 -12 + -20x = -32 + 0 -12 + -20x = -32 Add '12' to each side of the equation. -12 + 12 + -20x = -32 + 12 Combine like terms: -12 + 12 = 0 0 + -20x = -32 + 12 -20x = -32 + 12 Combine like terms: -32 + 12 = -20 -20x = -20 Divide each side by '-20'. x = 1 Simplifying x = 1
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