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Simplifying 5(4 + -2x) = 9(x + -2) (4 * 5 + -2x * 5) = 9(x + -2) (20 + -10x) = 9(x + -2) Reorder the terms: 20 + -10x = 9(-2 + x) 20 + -10x = (-2 * 9 + x * 9) 20 + -10x = (-18 + 9x) Solving 20 + -10x = -18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 20 + -10x + -9x = -18 + 9x + -9x Combine like terms: -10x + -9x = -19x 20 + -19x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 20 + -19x = -18 + 0 20 + -19x = -18 Add '-20' to each side of the equation. 20 + -20 + -19x = -18 + -20 Combine like terms: 20 + -20 = 0 0 + -19x = -18 + -20 -19x = -18 + -20 Combine like terms: -18 + -20 = -38 -19x = -38 Divide each side by '-19'. x = 2 Simplifying x = 2
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