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Simplifying -4(x + 3) + 5x = 3(x + 8) + -4 Reorder the terms: -4(3 + x) + 5x = 3(x + 8) + -4 (3 * -4 + x * -4) + 5x = 3(x + 8) + -4 (-12 + -4x) + 5x = 3(x + 8) + -4 Combine like terms: -4x + 5x = 1x -12 + 1x = 3(x + 8) + -4 Reorder the terms: -12 + 1x = 3(8 + x) + -4 -12 + 1x = (8 * 3 + x * 3) + -4 -12 + 1x = (24 + 3x) + -4 Reorder the terms: -12 + 1x = 24 + -4 + 3x Combine like terms: 24 + -4 = 20 -12 + 1x = 20 + 3x Solving -12 + 1x = 20 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + 1x + -3x = 20 + 3x + -3x Combine like terms: 1x + -3x = -2x -12 + -2x = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -2x = 20 + 0 -12 + -2x = 20 Add '12' to each side of the equation. -12 + 12 + -2x = 20 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 20 + 12 -2x = 20 + 12 Combine like terms: 20 + 12 = 32 -2x = 32 Divide each side by '-2'. x = -16 Simplifying x = -16
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