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Simplifying 3(x + -1) + -1(4x + -9) = 3(4x + -1) + -4 Reorder the terms: 3(-1 + x) + -1(4x + -9) = 3(4x + -1) + -4 (-1 * 3 + x * 3) + -1(4x + -9) = 3(4x + -1) + -4 (-3 + 3x) + -1(4x + -9) = 3(4x + -1) + -4 Reorder the terms: -3 + 3x + -1(-9 + 4x) = 3(4x + -1) + -4 -3 + 3x + (-9 * -1 + 4x * -1) = 3(4x + -1) + -4 -3 + 3x + (9 + -4x) = 3(4x + -1) + -4 Reorder the terms: -3 + 9 + 3x + -4x = 3(4x + -1) + -4 Combine like terms: -3 + 9 = 6 6 + 3x + -4x = 3(4x + -1) + -4 Combine like terms: 3x + -4x = -1x 6 + -1x = 3(4x + -1) + -4 Reorder the terms: 6 + -1x = 3(-1 + 4x) + -4 6 + -1x = (-1 * 3 + 4x * 3) + -4 6 + -1x = (-3 + 12x) + -4 Reorder the terms: 6 + -1x = -3 + -4 + 12x Combine like terms: -3 + -4 = -7 6 + -1x = -7 + 12x Solving 6 + -1x = -7 + 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. 6 + -1x + -12x = -7 + 12x + -12x Combine like terms: -1x + -12x = -13x 6 + -13x = -7 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -13x = -7 + 0 6 + -13x = -7 Add '-6' to each side of the equation. 6 + -6 + -13x = -7 + -6 Combine like terms: 6 + -6 = 0 0 + -13x = -7 + -6 -13x = -7 + -6 Combine like terms: -7 + -6 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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