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Simplifying 3(x + -2) + -1(4x + -9) = 2(3x + -1) + -2 Reorder the terms: 3(-2 + x) + -1(4x + -9) = 2(3x + -1) + -2 (-2 * 3 + x * 3) + -1(4x + -9) = 2(3x + -1) + -2 (-6 + 3x) + -1(4x + -9) = 2(3x + -1) + -2 Reorder the terms: -6 + 3x + -1(-9 + 4x) = 2(3x + -1) + -2 -6 + 3x + (-9 * -1 + 4x * -1) = 2(3x + -1) + -2 -6 + 3x + (9 + -4x) = 2(3x + -1) + -2 Reorder the terms: -6 + 9 + 3x + -4x = 2(3x + -1) + -2 Combine like terms: -6 + 9 = 3 3 + 3x + -4x = 2(3x + -1) + -2 Combine like terms: 3x + -4x = -1x 3 + -1x = 2(3x + -1) + -2 Reorder the terms: 3 + -1x = 2(-1 + 3x) + -2 3 + -1x = (-1 * 2 + 3x * 2) + -2 3 + -1x = (-2 + 6x) + -2 Reorder the terms: 3 + -1x = -2 + -2 + 6x Combine like terms: -2 + -2 = -4 3 + -1x = -4 + 6x Solving 3 + -1x = -4 + 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 = -4 + 6x + -6x Combine like terms: -1x + -6x = -7x 3 + -7x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -7x = -4 + 0 3 + -7x = -4 Add '-3' to each side of the equation. 3 + -3 + -7x = -4 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = -4 + -3 -7x = -4 + -3 Combine like terms: -4 + -3 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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