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Simplifying -4(x + -2) + 2(x + -1) = 40 Reorder the terms: -4(-2 + x) + 2(x + -1) = 40 (-2 * -4 + x * -4) + 2(x + -1) = 40 (8 + -4x) + 2(x + -1) = 40 Reorder the terms: 8 + -4x + 2(-1 + x) = 40 8 + -4x + (-1 * 2 + x * 2) = 40 8 + -4x + (-2 + 2x) = 40 Reorder the terms: 8 + -2 + -4x + 2x = 40 Combine like terms: 8 + -2 = 6 6 + -4x + 2x = 40 Combine like terms: -4x + 2x = -2x 6 + -2x = 40 Solving 6 + -2x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -2x = 40 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 40 + -6 -2x = 40 + -6 Combine like terms: 40 + -6 = 34 -2x = 34 Divide each side by '-2'. x = -17 Simplifying x = -17
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