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Simplifying 5x + 8(2 + x) = -5(2 + -1x) 5x + (2 * 8 + x * 8) = -5(2 + -1x) 5x + (16 + 8x) = -5(2 + -1x) Reorder the terms: 16 + 5x + 8x = -5(2 + -1x) Combine like terms: 5x + 8x = 13x 16 + 13x = -5(2 + -1x) 16 + 13x = (2 * -5 + -1x * -5) 16 + 13x = (-10 + 5x) Solving 16 + 13x = -10 + 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 + 13x + -5x = -10 + 5x + -5x Combine like terms: 13x + -5x = 8x 16 + 8x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + 8x = -10 + 0 16 + 8x = -10 Add '-16' to each side of the equation. 16 + -16 + 8x = -10 + -16 Combine like terms: 16 + -16 = 0 0 + 8x = -10 + -16 8x = -10 + -16 Combine like terms: -10 + -16 = -26 8x = -26 Divide each side by '8'. x = -3.25 Simplifying x = -3.25
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