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Simplifying 3(x + -4) + 9 = 4(x + 8) Reorder the terms: 3(-4 + x) + 9 = 4(x + 8) (-4 * 3 + x * 3) + 9 = 4(x + 8) (-12 + 3x) + 9 = 4(x + 8) Reorder the terms: -12 + 9 + 3x = 4(x + 8) Combine like terms: -12 + 9 = -3 -3 + 3x = 4(x + 8) Reorder the terms: -3 + 3x = 4(8 + x) -3 + 3x = (8 * 4 + x * 4) -3 + 3x = (32 + 4x) Solving -3 + 3x = 32 + 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. -3 + 3x + -4x = 32 + 4x + -4x Combine like terms: 3x + -4x = -1x -3 + -1x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -1x = 32 + 0 -3 + -1x = 32 Add '3' to each side of the equation. -3 + 3 + -1x = 32 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 32 + 3 -1x = 32 + 3 Combine like terms: 32 + 3 = 35 -1x = 35 Divide each side by '-1'. x = -35 Simplifying x = -35
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