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Simplifying 10 + -2(x + -7) = 3x + 9 Reorder the terms: 10 + -2(-7 + x) = 3x + 9 10 + (-7 * -2 + x * -2) = 3x + 9 10 + (14 + -2x) = 3x + 9 Combine like terms: 10 + 14 = 24 24 + -2x = 3x + 9 Reorder the terms: 24 + -2x = 9 + 3x Solving 24 + -2x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 24 + -2x + -3x = 9 + 3x + -3x Combine like terms: -2x + -3x = -5x 24 + -5x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + -5x = 9 + 0 24 + -5x = 9 Add '-24' to each side of the equation. 24 + -24 + -5x = 9 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = 9 + -24 -5x = 9 + -24 Combine like terms: 9 + -24 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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