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Simplifying 2(9x + 10) = 7x + -24 Reorder the terms: 2(10 + 9x) = 7x + -24 (10 * 2 + 9x * 2) = 7x + -24 (20 + 18x) = 7x + -24 Reorder the terms: 20 + 18x = -24 + 7x Solving 20 + 18x = -24 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 20 + 18x + -7x = -24 + 7x + -7x Combine like terms: 18x + -7x = 11x 20 + 11x = -24 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + 11x = -24 + 0 20 + 11x = -24 Add '-20' to each side of the equation. 20 + -20 + 11x = -24 + -20 Combine like terms: 20 + -20 = 0 0 + 11x = -24 + -20 11x = -24 + -20 Combine like terms: -24 + -20 = -44 11x = -44 Divide each side by '11'. x = -4 Simplifying x = -4
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