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Simplifying 2(x + -3) + -1(3x + -7) = 3(4x + -1) + -9 Reorder the terms: 2(-3 + x) + -1(3x + -7) = 3(4x + -1) + -9 (-3 * 2 + x * 2) + -1(3x + -7) = 3(4x + -1) + -9 (-6 + 2x) + -1(3x + -7) = 3(4x + -1) + -9 Reorder the terms: -6 + 2x + -1(-7 + 3x) = 3(4x + -1) + -9 -6 + 2x + (-7 * -1 + 3x * -1) = 3(4x + -1) + -9 -6 + 2x + (7 + -3x) = 3(4x + -1) + -9 Reorder the terms: -6 + 7 + 2x + -3x = 3(4x + -1) + -9 Combine like terms: -6 + 7 = 1 1 + 2x + -3x = 3(4x + -1) + -9 Combine like terms: 2x + -3x = -1x 1 + -1x = 3(4x + -1) + -9 Reorder the terms: 1 + -1x = 3(-1 + 4x) + -9 1 + -1x = (-1 * 3 + 4x * 3) + -9 1 + -1x = (-3 + 12x) + -9 Reorder the terms: 1 + -1x = -3 + -9 + 12x Combine like terms: -3 + -9 = -12 1 + -1x = -12 + 12x Solving 1 + -1x = -12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 1 + -1x + -12x = -12 + 12x + -12x Combine like terms: -1x + -12x = -13x 1 + -13x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 1 + -13x = -12 + 0 1 + -13x = -12 Add '-1' to each side of the equation. 1 + -1 + -13x = -12 + -1 Combine like terms: 1 + -1 = 0 0 + -13x = -12 + -1 -13x = -12 + -1 Combine like terms: -12 + -1 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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