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Simplifying 5x + 2(-2x + 12) = 17 Reorder the terms: 5x + 2(12 + -2x) = 17 5x + (12 * 2 + -2x * 2) = 17 5x + (24 + -4x) = 17 Reorder the terms: 24 + 5x + -4x = 17 Combine like terms: 5x + -4x = 1x 24 + 1x = 17 Solving 24 + 1x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 1x = 17 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 17 + -24 1x = 17 + -24 Combine like terms: 17 + -24 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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