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Simplifying 23 + 5(2x + -3) = 2(4x + 7) Reorder the terms: 23 + 5(-3 + 2x) = 2(4x + 7) 23 + (-3 * 5 + 2x * 5) = 2(4x + 7) 23 + (-15 + 10x) = 2(4x + 7) Combine like terms: 23 + -15 = 8 8 + 10x = 2(4x + 7) Reorder the terms: 8 + 10x = 2(7 + 4x) 8 + 10x = (7 * 2 + 4x * 2) 8 + 10x = (14 + 8x) Solving 8 + 10x = 14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 8 + 10x + -8x = 14 + 8x + -8x Combine like terms: 10x + -8x = 2x 8 + 2x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + 2x = 14 + 0 8 + 2x = 14 Add '-8' to each side of the equation. 8 + -8 + 2x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 14 + -8 2x = 14 + -8 Combine like terms: 14 + -8 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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