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Simplifying -4(3 + -1x) + -1(-3 + -5x) = 2(x + -3x + -1) (3 * -4 + -1x * -4) + -1(-3 + -5x) = 2(x + -3x + -1) (-12 + 4x) + -1(-3 + -5x) = 2(x + -3x + -1) -12 + 4x + (-3 * -1 + -5x * -1) = 2(x + -3x + -1) -12 + 4x + (3 + 5x) = 2(x + -3x + -1) Reorder the terms: -12 + 3 + 4x + 5x = 2(x + -3x + -1) Combine like terms: -12 + 3 = -9 -9 + 4x + 5x = 2(x + -3x + -1) Combine like terms: 4x + 5x = 9x -9 + 9x = 2(x + -3x + -1) Reorder the terms: -9 + 9x = 2(-1 + x + -3x) Combine like terms: x + -3x = -2x -9 + 9x = 2(-1 + -2x) -9 + 9x = (-1 * 2 + -2x * 2) -9 + 9x = (-2 + -4x) Solving -9 + 9x = -2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -9 + 9x + 4x = -2 + -4x + 4x Combine like terms: 9x + 4x = 13x -9 + 13x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 -9 + 13x = -2 + 0 -9 + 13x = -2 Add '9' to each side of the equation. -9 + 9 + 13x = -2 + 9 Combine like terms: -9 + 9 = 0 0 + 13x = -2 + 9 13x = -2 + 9 Combine like terms: -2 + 9 = 7 13x = 7 Divide each side by '13'. x = 0.5384615385 Simplifying x = 0.5384615385
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