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Simplifying 2(2 + -1x) + -1(2x + 2) = 6(3x + 6) (2 * 2 + -1x * 2) + -1(2x + 2) = 6(3x + 6) (4 + -2x) + -1(2x + 2) = 6(3x + 6) Reorder the terms: 4 + -2x + -1(2 + 2x) = 6(3x + 6) 4 + -2x + (2 * -1 + 2x * -1) = 6(3x + 6) 4 + -2x + (-2 + -2x) = 6(3x + 6) Reorder the terms: 4 + -2 + -2x + -2x = 6(3x + 6) Combine like terms: 4 + -2 = 2 2 + -2x + -2x = 6(3x + 6) Combine like terms: -2x + -2x = -4x 2 + -4x = 6(3x + 6) Reorder the terms: 2 + -4x = 6(6 + 3x) 2 + -4x = (6 * 6 + 3x * 6) 2 + -4x = (36 + 18x) Solving 2 + -4x = 36 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 2 + -4x + -18x = 36 + 18x + -18x Combine like terms: -4x + -18x = -22x 2 + -22x = 36 + 18x + -18x Combine like terms: 18x + -18x = 0 2 + -22x = 36 + 0 2 + -22x = 36 Add '-2' to each side of the equation. 2 + -2 + -22x = 36 + -2 Combine like terms: 2 + -2 = 0 0 + -22x = 36 + -2 -22x = 36 + -2 Combine like terms: 36 + -2 = 34 -22x = 34 Divide each side by '-22'. x = -1.545454545 Simplifying x = -1.545454545
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