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Simplifying 6 + -4(x + 2) + 2(x + -1) = 18 Reorder the terms: 6 + -4(2 + x) + 2(x + -1) = 18 6 + (2 * -4 + x * -4) + 2(x + -1) = 18 6 + (-8 + -4x) + 2(x + -1) = 18 Reorder the terms: 6 + -8 + -4x + 2(-1 + x) = 18 6 + -8 + -4x + (-1 * 2 + x * 2) = 18 6 + -8 + -4x + (-2 + 2x) = 18 Reorder the terms: 6 + -8 + -2 + -4x + 2x = 18 Combine like terms: 6 + -8 = -2 -2 + -2 + -4x + 2x = 18 Combine like terms: -2 + -2 = -4 -4 + -4x + 2x = 18 Combine like terms: -4x + 2x = -2x -4 + -2x = 18 Solving -4 + -2x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -2x = 18 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 18 + 4 -2x = 18 + 4 Combine like terms: 18 + 4 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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