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Simplifying 8 + -1(3x + 3) = x + -3(2x + 1) Reorder the terms: 8 + -1(3 + 3x) = x + -3(2x + 1) 8 + (3 * -1 + 3x * -1) = x + -3(2x + 1) 8 + (-3 + -3x) = x + -3(2x + 1) Combine like terms: 8 + -3 = 5 5 + -3x = x + -3(2x + 1) Reorder the terms: 5 + -3x = x + -3(1 + 2x) 5 + -3x = x + (1 * -3 + 2x * -3) 5 + -3x = x + (-3 + -6x) Reorder the terms: 5 + -3x = -3 + x + -6x Combine like terms: x + -6x = -5x 5 + -3x = -3 + -5x Solving 5 + -3x = -3 + -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. 5 + -3x + 5x = -3 + -5x + 5x Combine like terms: -3x + 5x = 2x 5 + 2x = -3 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + 2x = -3 + 0 5 + 2x = -3 Add '-5' to each side of the equation. 5 + -5 + 2x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = -3 + -5 2x = -3 + -5 Combine like terms: -3 + -5 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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