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Simplifying 5x + 8(x + -12) = 5(x + -16) Reorder the terms: 5x + 8(-12 + x) = 5(x + -16) 5x + (-12 * 8 + x * 8) = 5(x + -16) 5x + (-96 + 8x) = 5(x + -16) Reorder the terms: -96 + 5x + 8x = 5(x + -16) Combine like terms: 5x + 8x = 13x -96 + 13x = 5(x + -16) Reorder the terms: -96 + 13x = 5(-16 + x) -96 + 13x = (-16 * 5 + x * 5) -96 + 13x = (-80 + 5x) Solving -96 + 13x = -80 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -96 + 13x + -5x = -80 + 5x + -5x Combine like terms: 13x + -5x = 8x -96 + 8x = -80 + 5x + -5x Combine like terms: 5x + -5x = 0 -96 + 8x = -80 + 0 -96 + 8x = -80 Add '96' to each side of the equation. -96 + 96 + 8x = -80 + 96 Combine like terms: -96 + 96 = 0 0 + 8x = -80 + 96 8x = -80 + 96 Combine like terms: -80 + 96 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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