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Simplifying 2(x + -2) + -1(2x + 2) = 6(3x + 6) Reorder the terms: 2(-2 + x) + -1(2x + 2) = 6(3x + 6) (-2 * 2 + x * 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 = -6 -6 + 2x + -2x = 6(3x + 6) Combine like terms: 2x + -2x = 0 -6 + 0 = 6(3x + 6) -6 = 6(3x + 6) Reorder the terms: -6 = 6(6 + 3x) -6 = (6 * 6 + 3x * 6) -6 = (36 + 18x) Solving -6 = 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. -6 + -18x = 36 + 18x + -18x Combine like terms: 18x + -18x = 0 -6 + -18x = 36 + 0 -6 + -18x = 36 Add '6' to each side of the equation. -6 + 6 + -18x = 36 + 6 Combine like terms: -6 + 6 = 0 0 + -18x = 36 + 6 -18x = 36 + 6 Combine like terms: 36 + 6 = 42 -18x = 42 Divide each side by '-18'. x = -2.333333333 Simplifying x = -2.333333333
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