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Simplifying -2(3x + 5) + -4(3 + -1x) = 2(x + -5) + -1(4 + -1x) Reorder the terms: -2(5 + 3x) + -4(3 + -1x) = 2(x + -5) + -1(4 + -1x) (5 * -2 + 3x * -2) + -4(3 + -1x) = 2(x + -5) + -1(4 + -1x) (-10 + -6x) + -4(3 + -1x) = 2(x + -5) + -1(4 + -1x) -10 + -6x + (3 * -4 + -1x * -4) = 2(x + -5) + -1(4 + -1x) -10 + -6x + (-12 + 4x) = 2(x + -5) + -1(4 + -1x) Reorder the terms: -10 + -12 + -6x + 4x = 2(x + -5) + -1(4 + -1x) Combine like terms: -10 + -12 = -22 -22 + -6x + 4x = 2(x + -5) + -1(4 + -1x) Combine like terms: -6x + 4x = -2x -22 + -2x = 2(x + -5) + -1(4 + -1x) Reorder the terms: -22 + -2x = 2(-5 + x) + -1(4 + -1x) -22 + -2x = (-5 * 2 + x * 2) + -1(4 + -1x) -22 + -2x = (-10 + 2x) + -1(4 + -1x) -22 + -2x = -10 + 2x + (4 * -1 + -1x * -1) -22 + -2x = -10 + 2x + (-4 + 1x) Reorder the terms: -22 + -2x = -10 + -4 + 2x + 1x Combine like terms: -10 + -4 = -14 -22 + -2x = -14 + 2x + 1x Combine like terms: 2x + 1x = 3x -22 + -2x = -14 + 3x Solving -22 + -2x = -14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -22 + -2x + -3x = -14 + 3x + -3x Combine like terms: -2x + -3x = -5x -22 + -5x = -14 + 3x + -3x Combine like terms: 3x + -3x = 0 -22 + -5x = -14 + 0 -22 + -5x = -14 Add '22' to each side of the equation. -22 + 22 + -5x = -14 + 22 Combine like terms: -22 + 22 = 0 0 + -5x = -14 + 22 -5x = -14 + 22 Combine like terms: -14 + 22 = 8 -5x = 8 Divide each side by '-5'. x = -1.6 Simplifying x = -1.6
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