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Simplifying 3(x + -1) + -1(4x + -5) = 3(4x + -1) + -8 Reorder the terms: 3(-1 + x) + -1(4x + -5) = 3(4x + -1) + -8 (-1 * 3 + x * 3) + -1(4x + -5) = 3(4x + -1) + -8 (-3 + 3x) + -1(4x + -5) = 3(4x + -1) + -8 Reorder the terms: -3 + 3x + -1(-5 + 4x) = 3(4x + -1) + -8 -3 + 3x + (-5 * -1 + 4x * -1) = 3(4x + -1) + -8 -3 + 3x + (5 + -4x) = 3(4x + -1) + -8 Reorder the terms: -3 + 5 + 3x + -4x = 3(4x + -1) + -8 Combine like terms: -3 + 5 = 2 2 + 3x + -4x = 3(4x + -1) + -8 Combine like terms: 3x + -4x = -1x 2 + -1x = 3(4x + -1) + -8 Reorder the terms: 2 + -1x = 3(-1 + 4x) + -8 2 + -1x = (-1 * 3 + 4x * 3) + -8 2 + -1x = (-3 + 12x) + -8 Reorder the terms: 2 + -1x = -3 + -8 + 12x Combine like terms: -3 + -8 = -11 2 + -1x = -11 + 12x Solving 2 + -1x = -11 + 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. 2 + -1x + -12x = -11 + 12x + -12x Combine like terms: -1x + -12x = -13x 2 + -13x = -11 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -13x = -11 + 0 2 + -13x = -11 Add '-2' to each side of the equation. 2 + -2 + -13x = -11 + -2 Combine like terms: 2 + -2 = 0 0 + -13x = -11 + -2 -13x = -11 + -2 Combine like terms: -11 + -2 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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