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Simplifying 2(x + -2) + -1(3x + -7) = 3(4x + -1) + -7 Reorder the terms: 2(-2 + x) + -1(3x + -7) = 3(4x + -1) + -7 (-2 * 2 + x * 2) + -1(3x + -7) = 3(4x + -1) + -7 (-4 + 2x) + -1(3x + -7) = 3(4x + -1) + -7 Reorder the terms: -4 + 2x + -1(-7 + 3x) = 3(4x + -1) + -7 -4 + 2x + (-7 * -1 + 3x * -1) = 3(4x + -1) + -7 -4 + 2x + (7 + -3x) = 3(4x + -1) + -7 Reorder the terms: -4 + 7 + 2x + -3x = 3(4x + -1) + -7 Combine like terms: -4 + 7 = 3 3 + 2x + -3x = 3(4x + -1) + -7 Combine like terms: 2x + -3x = -1x 3 + -1x = 3(4x + -1) + -7 Reorder the terms: 3 + -1x = 3(-1 + 4x) + -7 3 + -1x = (-1 * 3 + 4x * 3) + -7 3 + -1x = (-3 + 12x) + -7 Reorder the terms: 3 + -1x = -3 + -7 + 12x Combine like terms: -3 + -7 = -10 3 + -1x = -10 + 12x Solving 3 + -1x = -10 + 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. 3 + -1x + -12x = -10 + 12x + -12x Combine like terms: -1x + -12x = -13x 3 + -13x = -10 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + -13x = -10 + 0 3 + -13x = -10 Add '-3' to each side of the equation. 3 + -3 + -13x = -10 + -3 Combine like terms: 3 + -3 = 0 0 + -13x = -10 + -3 -13x = -10 + -3 Combine like terms: -10 + -3 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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