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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 = 9x -13 + 9x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -13 + 9x = 12 + 0 -13 + 9x = 12 Add '13' to each side of the equation. -13 + 13 + 9x = 12 + 13 Combine like terms: -13 + 13 = 0 0 + 9x = 12 + 13 9x = 12 + 13 Combine like terms: 12 + 13 = 25 9x = 25 Divide each side by '9'. x = 2.777777778 Simplifying x = 2.777777778
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