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Simplifying 2(x + -2) + -1(3x + -7) = 2(3x + -1) + -9 Reorder the terms: 2(-2 + x) + -1(3x + -7) = 2(3x + -1) + -9 (-2 * 2 + x * 2) + -1(3x + -7) = 2(3x + -1) + -9 (-4 + 2x) + -1(3x + -7) = 2(3x + -1) + -9 Reorder the terms: -4 + 2x + -1(-7 + 3x) = 2(3x + -1) + -9 -4 + 2x + (-7 * -1 + 3x * -1) = 2(3x + -1) + -9 -4 + 2x + (7 + -3x) = 2(3x + -1) + -9 Reorder the terms: -4 + 7 + 2x + -3x = 2(3x + -1) + -9 Combine like terms: -4 + 7 = 3 3 + 2x + -3x = 2(3x + -1) + -9 Combine like terms: 2x + -3x = -1x 3 + -1x = 2(3x + -1) + -9 Reorder the terms: 3 + -1x = 2(-1 + 3x) + -9 3 + -1x = (-1 * 2 + 3x * 2) + -9 3 + -1x = (-2 + 6x) + -9 Reorder the terms: 3 + -1x = -2 + -9 + 6x Combine like terms: -2 + -9 = -11 3 + -1x = -11 + 6x Solving 3 + -1x = -11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3 + -1x + -6x = -11 + 6x + -6x Combine like terms: -1x + -6x = -7x 3 + -7x = -11 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -7x = -11 + 0 3 + -7x = -11 Add '-3' to each side of the equation. 3 + -3 + -7x = -11 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = -11 + -3 -7x = -11 + -3 Combine like terms: -11 + -3 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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