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Simplifying 3(x + -2) + -1(4x + -9) = 3(4x + -1) + -7 Reorder the terms: 3(-2 + x) + -1(4x + -9) = 3(4x + -1) + -7 (-2 * 3 + x * 3) + -1(4x + -9) = 3(4x + -1) + -7 (-6 + 3x) + -1(4x + -9) = 3(4x + -1) + -7 Reorder the terms: -6 + 3x + -1(-9 + 4x) = 3(4x + -1) + -7 -6 + 3x + (-9 * -1 + 4x * -1) = 3(4x + -1) + -7 -6 + 3x + (9 + -4x) = 3(4x + -1) + -7 Reorder the terms: -6 + 9 + 3x + -4x = 3(4x + -1) + -7 Combine like terms: -6 + 9 = 3 3 + 3x + -4x = 3(4x + -1) + -7 Combine like terms: 3x + -4x = -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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