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Simplifying 5(x + 2) + -8x = 9 + -2(x + -2) Reorder the terms: 5(2 + x) + -8x = 9 + -2(x + -2) (2 * 5 + x * 5) + -8x = 9 + -2(x + -2) (10 + 5x) + -8x = 9 + -2(x + -2) Combine like terms: 5x + -8x = -3x 10 + -3x = 9 + -2(x + -2) Reorder the terms: 10 + -3x = 9 + -2(-2 + x) 10 + -3x = 9 + (-2 * -2 + x * -2) 10 + -3x = 9 + (4 + -2x) Combine like terms: 9 + 4 = 13 10 + -3x = 13 + -2x Solving 10 + -3x = 13 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 10 + -3x + 2x = 13 + -2x + 2x Combine like terms: -3x + 2x = -1x 10 + -1x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + -1x = 13 + 0 10 + -1x = 13 Add '-10' to each side of the equation. 10 + -10 + -1x = 13 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 13 + -10 -1x = 13 + -10 Combine like terms: 13 + -10 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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