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Simplifying 9(10 + -2x) = 2x + 40 (10 * 9 + -2x * 9) = 2x + 40 (90 + -18x) = 2x + 40 Reorder the terms: 90 + -18x = 40 + 2x Solving 90 + -18x = 40 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 90 + -18x + -2x = 40 + 2x + -2x Combine like terms: -18x + -2x = -20x 90 + -20x = 40 + 2x + -2x Combine like terms: 2x + -2x = 0 90 + -20x = 40 + 0 90 + -20x = 40 Add '-90' to each side of the equation. 90 + -90 + -20x = 40 + -90 Combine like terms: 90 + -90 = 0 0 + -20x = 40 + -90 -20x = 40 + -90 Combine like terms: 40 + -90 = -50 -20x = -50 Divide each side by '-20'. x = 2.5 Simplifying x = 2.5
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