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Simplifying 3(x + 5) = 4(x + -4) Reorder the terms: 3(5 + x) = 4(x + -4) (5 * 3 + x * 3) = 4(x + -4) (15 + 3x) = 4(x + -4) Reorder the terms: 15 + 3x = 4(-4 + x) 15 + 3x = (-4 * 4 + x * 4) 15 + 3x = (-16 + 4x) Solving 15 + 3x = -16 + 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 + 3x + -4x = -16 + 4x + -4x Combine like terms: 3x + -4x = -1x 15 + -1x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -1x = -16 + 0 15 + -1x = -16 Add '-15' to each side of the equation. 15 + -15 + -1x = -16 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = -16 + -15 -1x = -16 + -15 Combine like terms: -16 + -15 = -31 -1x = -31 Divide each side by '-1'. x = 31 Simplifying x = 31
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