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Simplifying 2(x + -2) + -1(2x + 4) = 4(6x + 6) Reorder the terms: 2(-2 + x) + -1(2x + 4) = 4(6x + 6) (-2 * 2 + x * 2) + -1(2x + 4) = 4(6x + 6) (-4 + 2x) + -1(2x + 4) = 4(6x + 6) Reorder the terms: -4 + 2x + -1(4 + 2x) = 4(6x + 6) -4 + 2x + (4 * -1 + 2x * -1) = 4(6x + 6) -4 + 2x + (-4 + -2x) = 4(6x + 6) Reorder the terms: -4 + -4 + 2x + -2x = 4(6x + 6) Combine like terms: -4 + -4 = -8 -8 + 2x + -2x = 4(6x + 6) Combine like terms: 2x + -2x = 0 -8 + 0 = 4(6x + 6) -8 = 4(6x + 6) Reorder the terms: -8 = 4(6 + 6x) -8 = (6 * 4 + 6x * 4) -8 = (24 + 24x) Solving -8 = 24 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -8 + -24x = 24 + 24x + -24x Combine like terms: 24x + -24x = 0 -8 + -24x = 24 + 0 -8 + -24x = 24 Add '8' to each side of the equation. -8 + 8 + -24x = 24 + 8 Combine like terms: -8 + 8 = 0 0 + -24x = 24 + 8 -24x = 24 + 8 Combine like terms: 24 + 8 = 32 -24x = 32 Divide each side by '-24'. x = -1.333333333 Simplifying x = -1.333333333
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