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Simplifying 8 + -1(2x + 1) + -8 + 3 = 3 + -1(3x + 3) Reorder the terms: 8 + -1(1 + 2x) + -8 + 3 = 3 + -1(3x + 3) 8 + (1 * -1 + 2x * -1) + -8 + 3 = 3 + -1(3x + 3) 8 + (-1 + -2x) + -8 + 3 = 3 + -1(3x + 3) Reorder the terms: 8 + -1 + -8 + 3 + -2x = 3 + -1(3x + 3) Combine like terms: 8 + -1 = 7 7 + -8 + 3 + -2x = 3 + -1(3x + 3) Combine like terms: 7 + -8 = -1 -1 + 3 + -2x = 3 + -1(3x + 3) Combine like terms: -1 + 3 = 2 2 + -2x = 3 + -1(3x + 3) Reorder the terms: 2 + -2x = 3 + -1(3 + 3x) 2 + -2x = 3 + (3 * -1 + 3x * -1) 2 + -2x = 3 + (-3 + -3x) Combine like terms: 3 + -3 = 0 2 + -2x = 0 + -3x 2 + -2x = -3x Solving 2 + -2x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + -2x + 3x = -3x + 3x Combine like terms: -2x + 3x = 1x 2 + 1x = -3x + 3x Combine like terms: -3x + 3x = 0 2 + 1x = 0 Add '-2' to each side of the equation. 2 + -2 + 1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 0 + -2 1x = 0 + -2 Combine like terms: 0 + -2 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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