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Simplifying 5(1 + -1x) + 8x = -2 + -1(2x + 3) (1 * 5 + -1x * 5) + 8x = -2 + -1(2x + 3) (5 + -5x) + 8x = -2 + -1(2x + 3) Combine like terms: -5x + 8x = 3x 5 + 3x = -2 + -1(2x + 3) Reorder the terms: 5 + 3x = -2 + -1(3 + 2x) 5 + 3x = -2 + (3 * -1 + 2x * -1) 5 + 3x = -2 + (-3 + -2x) Combine like terms: -2 + -3 = -5 5 + 3x = -5 + -2x Solving 5 + 3x = -5 + -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. 5 + 3x + 2x = -5 + -2x + 2x Combine like terms: 3x + 2x = 5x 5 + 5x = -5 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 5x = -5 + 0 5 + 5x = -5 Add '-5' to each side of the equation. 5 + -5 + 5x = -5 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = -5 + -5 5x = -5 + -5 Combine like terms: -5 + -5 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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