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Simplifying 5 + 3(x + -1) = 2 + -5(x + -2) Reorder the terms: 5 + 3(-1 + x) = 2 + -5(x + -2) 5 + (-1 * 3 + x * 3) = 2 + -5(x + -2) 5 + (-3 + 3x) = 2 + -5(x + -2) Combine like terms: 5 + -3 = 2 2 + 3x = 2 + -5(x + -2) Reorder the terms: 2 + 3x = 2 + -5(-2 + x) 2 + 3x = 2 + (-2 * -5 + x * -5) 2 + 3x = 2 + (10 + -5x) Combine like terms: 2 + 10 = 12 2 + 3x = 12 + -5x Solving 2 + 3x = 12 + -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. 2 + 3x + 5x = 12 + -5x + 5x Combine like terms: 3x + 5x = 8x 2 + 8x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 8x = 12 + 0 2 + 8x = 12 Add '-2' to each side of the equation. 2 + -2 + 8x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 12 + -2 8x = 12 + -2 Combine like terms: 12 + -2 = 10 8x = 10 Divide each side by '8'. x = 1.25 Simplifying x = 1.25
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