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Simplifying 5 + 2x = 24 + -1(4x + 7) Reorder the terms: 5 + 2x = 24 + -1(7 + 4x) 5 + 2x = 24 + (7 * -1 + 4x * -1) 5 + 2x = 24 + (-7 + -4x) Combine like terms: 24 + -7 = 17 5 + 2x = 17 + -4x Solving 5 + 2x = 17 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 5 + 2x + 4x = 17 + -4x + 4x Combine like terms: 2x + 4x = 6x 5 + 6x = 17 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 6x = 17 + 0 5 + 6x = 17 Add '-5' to each side of the equation. 5 + -5 + 6x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 17 + -5 6x = 17 + -5 Combine like terms: 17 + -5 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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