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