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Simplifying 4(2x + -3) + -3 = 4(x + -4) + 9 Reorder the terms: 4(-3 + 2x) + -3 = 4(x + -4) + 9 (-3 * 4 + 2x * 4) + -3 = 4(x + -4) + 9 (-12 + 8x) + -3 = 4(x + -4) + 9 Reorder the terms: -12 + -3 + 8x = 4(x + -4) + 9 Combine like terms: -12 + -3 = -15 -15 + 8x = 4(x + -4) + 9 Reorder the terms: -15 + 8x = 4(-4 + x) + 9 -15 + 8x = (-4 * 4 + x * 4) + 9 -15 + 8x = (-16 + 4x) + 9 Reorder the terms: -15 + 8x = -16 + 9 + 4x Combine like terms: -16 + 9 = -7 -15 + 8x = -7 + 4x Solving -15 + 8x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -15 + 8x + -4x = -7 + 4x + -4x Combine like terms: 8x + -4x = 4x -15 + 4x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 4x = -7 + 0 -15 + 4x = -7 Add '15' to each side of the equation. -15 + 15 + 4x = -7 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = -7 + 15 4x = -7 + 15 Combine like terms: -7 + 15 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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