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Simplifying 8(x + 2) = 5(x + -4) Reorder the terms: 8(2 + x) = 5(x + -4) (2 * 8 + x * 8) = 5(x + -4) (16 + 8x) = 5(x + -4) Reorder the terms: 16 + 8x = 5(-4 + x) 16 + 8x = (-4 * 5 + x * 5) 16 + 8x = (-20 + 5x) Solving 16 + 8x = -20 + 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. 16 + 8x + -5x = -20 + 5x + -5x Combine like terms: 8x + -5x = 3x 16 + 3x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + 3x = -20 + 0 16 + 3x = -20 Add '-16' to each side of the equation. 16 + -16 + 3x = -20 + -16 Combine like terms: 16 + -16 = 0 0 + 3x = -20 + -16 3x = -20 + -16 Combine like terms: -20 + -16 = -36 3x = -36 Divide each side by '3'. x = -12 Simplifying x = -12
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