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Simplifying 8 + -1(3x + -5) = -5 + 2(x + 1) Reorder the terms: 8 + -1(-5 + 3x) = -5 + 2(x + 1) 8 + (-5 * -1 + 3x * -1) = -5 + 2(x + 1) 8 + (5 + -3x) = -5 + 2(x + 1) Combine like terms: 8 + 5 = 13 13 + -3x = -5 + 2(x + 1) Reorder the terms: 13 + -3x = -5 + 2(1 + x) 13 + -3x = -5 + (1 * 2 + x * 2) 13 + -3x = -5 + (2 + 2x) Combine like terms: -5 + 2 = -3 13 + -3x = -3 + 2x Solving 13 + -3x = -3 + 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. 13 + -3x + -2x = -3 + 2x + -2x Combine like terms: -3x + -2x = -5x 13 + -5x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + -5x = -3 + 0 13 + -5x = -3 Add '-13' to each side of the equation. 13 + -13 + -5x = -3 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = -3 + -13 -5x = -3 + -13 Combine like terms: -3 + -13 = -16 -5x = -16 Divide each side by '-5'. x = 3.2 Simplifying x = 3.2
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