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Simplifying 2x + -2 = 3(x + -1) + -5(6 + -2x) Reorder the terms: -2 + 2x = 3(x + -1) + -5(6 + -2x) Reorder the terms: -2 + 2x = 3(-1 + x) + -5(6 + -2x) -2 + 2x = (-1 * 3 + x * 3) + -5(6 + -2x) -2 + 2x = (-3 + 3x) + -5(6 + -2x) -2 + 2x = -3 + 3x + (6 * -5 + -2x * -5) -2 + 2x = -3 + 3x + (-30 + 10x) Reorder the terms: -2 + 2x = -3 + -30 + 3x + 10x Combine like terms: -3 + -30 = -33 -2 + 2x = -33 + 3x + 10x Combine like terms: 3x + 10x = 13x -2 + 2x = -33 + 13x Solving -2 + 2x = -33 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -2 + 2x + -13x = -33 + 13x + -13x Combine like terms: 2x + -13x = -11x -2 + -11x = -33 + 13x + -13x Combine like terms: 13x + -13x = 0 -2 + -11x = -33 + 0 -2 + -11x = -33 Add '2' to each side of the equation. -2 + 2 + -11x = -33 + 2 Combine like terms: -2 + 2 = 0 0 + -11x = -33 + 2 -11x = -33 + 2 Combine like terms: -33 + 2 = -31 -11x = -31 Divide each side by '-11'. x = 2.818181818 Simplifying x = 2.818181818
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