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Simplifying 4(5 + -1x) + -1(2 + -2x) = 9 (5 * 4 + -1x * 4) + -1(2 + -2x) = 9 (20 + -4x) + -1(2 + -2x) = 9 20 + -4x + (2 * -1 + -2x * -1) = 9 20 + -4x + (-2 + 2x) = 9 Reorder the terms: 20 + -2 + -4x + 2x = 9 Combine like terms: 20 + -2 = 18 18 + -4x + 2x = 9 Combine like terms: -4x + 2x = -2x 18 + -2x = 9 Solving 18 + -2x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -2x = 9 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = 9 + -18 -2x = 9 + -18 Combine like terms: 9 + -18 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5
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