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Simplifying 2 + -1(3x + 1) = -7 + -2(x + 2) Reorder the terms: 2 + -1(1 + 3x) = -7 + -2(x + 2) 2 + (1 * -1 + 3x * -1) = -7 + -2(x + 2) 2 + (-1 + -3x) = -7 + -2(x + 2) Combine like terms: 2 + -1 = 1 1 + -3x = -7 + -2(x + 2) Reorder the terms: 1 + -3x = -7 + -2(2 + x) 1 + -3x = -7 + (2 * -2 + x * -2) 1 + -3x = -7 + (-4 + -2x) Combine like terms: -7 + -4 = -11 1 + -3x = -11 + -2x Solving 1 + -3x = -11 + -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. 1 + -3x + 2x = -11 + -2x + 2x Combine like terms: -3x + 2x = -1x 1 + -1x = -11 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + -1x = -11 + 0 1 + -1x = -11 Add '-1' to each side of the equation. 1 + -1 + -1x = -11 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = -11 + -1 -1x = -11 + -1 Combine like terms: -11 + -1 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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