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Simplifying 8 + -1(3x + 3) = x + -1(2x + 1) Reorder the terms: 8 + -1(3 + 3x) = x + -1(2x + 1) 8 + (3 * -1 + 3x * -1) = x + -1(2x + 1) 8 + (-3 + -3x) = x + -1(2x + 1) Combine like terms: 8 + -3 = 5 5 + -3x = x + -1(2x + 1) Reorder the terms: 5 + -3x = x + -1(1 + 2x) 5 + -3x = x + (1 * -1 + 2x * -1) 5 + -3x = x + (-1 + -2x) Reorder the terms: 5 + -3x = -1 + x + -2x Combine like terms: x + -2x = -1x 5 + -3x = -1 + -1x Solving 5 + -3x = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5 + -3x + x = -1 + -1x + x Combine like terms: -3x + x = -2x 5 + -2x = -1 + -1x + x Combine like terms: -1x + x = 0 5 + -2x = -1 + 0 5 + -2x = -1 Add '-5' to each side of the equation. 5 + -5 + -2x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = -1 + -5 -2x = -1 + -5 Combine like terms: -1 + -5 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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