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Simplifying 10 + -3(2x + -7) = 5x + -24 Reorder the terms: 10 + -3(-7 + 2x) = 5x + -24 10 + (-7 * -3 + 2x * -3) = 5x + -24 10 + (21 + -6x) = 5x + -24 Combine like terms: 10 + 21 = 31 31 + -6x = 5x + -24 Reorder the terms: 31 + -6x = -24 + 5x Solving 31 + -6x = -24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 31 + -6x + -5x = -24 + 5x + -5x Combine like terms: -6x + -5x = -11x 31 + -11x = -24 + 5x + -5x Combine like terms: 5x + -5x = 0 31 + -11x = -24 + 0 31 + -11x = -24 Add '-31' to each side of the equation. 31 + -31 + -11x = -24 + -31 Combine like terms: 31 + -31 = 0 0 + -11x = -24 + -31 -11x = -24 + -31 Combine like terms: -24 + -31 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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