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Simplifying 5[2x + 3] = 24 + x Reorder the terms: 5[3 + 2x] = 24 + x [3 * 5 + 2x * 5] = 24 + x [15 + 10x] = 24 + x Solving 15 + 10x = 24 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + 10x + -1x = 24 + x + -1x Combine like terms: 10x + -1x = 9x 15 + 9x = 24 + x + -1x Combine like terms: x + -1x = 0 15 + 9x = 24 + 0 15 + 9x = 24 Add '-15' to each side of the equation. 15 + -15 + 9x = 24 + -15 Combine like terms: 15 + -15 = 0 0 + 9x = 24 + -15 9x = 24 + -15 Combine like terms: 24 + -15 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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