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Simplifying 2(5x + 2) = 9x + -5 + 2x + -15 Reorder the terms: 2(2 + 5x) = 9x + -5 + 2x + -15 (2 * 2 + 5x * 2) = 9x + -5 + 2x + -15 (4 + 10x) = 9x + -5 + 2x + -15 Reorder the terms: 4 + 10x = -5 + -15 + 9x + 2x Combine like terms: -5 + -15 = -20 4 + 10x = -20 + 9x + 2x Combine like terms: 9x + 2x = 11x 4 + 10x = -20 + 11x Solving 4 + 10x = -20 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 4 + 10x + -11x = -20 + 11x + -11x Combine like terms: 10x + -11x = -1x 4 + -1x = -20 + 11x + -11x Combine like terms: 11x + -11x = 0 4 + -1x = -20 + 0 4 + -1x = -20 Add '-4' to each side of the equation. 4 + -4 + -1x = -20 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -20 + -4 -1x = -20 + -4 Combine like terms: -20 + -4 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24
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