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Simplifying 2(2x + -5) + -1(3 + -1x) = -2(6 + -2x) Reorder the terms: 2(-5 + 2x) + -1(3 + -1x) = -2(6 + -2x) (-5 * 2 + 2x * 2) + -1(3 + -1x) = -2(6 + -2x) (-10 + 4x) + -1(3 + -1x) = -2(6 + -2x) -10 + 4x + (3 * -1 + -1x * -1) = -2(6 + -2x) -10 + 4x + (-3 + 1x) = -2(6 + -2x) Reorder the terms: -10 + -3 + 4x + 1x = -2(6 + -2x) Combine like terms: -10 + -3 = -13 -13 + 4x + 1x = -2(6 + -2x) Combine like terms: 4x + 1x = 5x -13 + 5x = -2(6 + -2x) -13 + 5x = (6 * -2 + -2x * -2) -13 + 5x = (-12 + 4x) Solving -13 + 5x = -12 + 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. -13 + 5x + -4x = -12 + 4x + -4x Combine like terms: 5x + -4x = 1x -13 + 1x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + 1x = -12 + 0 -13 + 1x = -12 Add '13' to each side of the equation. -13 + 13 + 1x = -12 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = -12 + 13 1x = -12 + 13 Combine like terms: -12 + 13 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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