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