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Simplifying 24 + 8x = 5(4 + 2x) + -2(2x + -3) 24 + 8x = (4 * 5 + 2x * 5) + -2(2x + -3) 24 + 8x = (20 + 10x) + -2(2x + -3) Reorder the terms: 24 + 8x = 20 + 10x + -2(-3 + 2x) 24 + 8x = 20 + 10x + (-3 * -2 + 2x * -2) 24 + 8x = 20 + 10x + (6 + -4x) Reorder the terms: 24 + 8x = 20 + 6 + 10x + -4x Combine like terms: 20 + 6 = 26 24 + 8x = 26 + 10x + -4x Combine like terms: 10x + -4x = 6x 24 + 8x = 26 + 6x Solving 24 + 8x = 26 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 24 + 8x + -6x = 26 + 6x + -6x Combine like terms: 8x + -6x = 2x 24 + 2x = 26 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + 2x = 26 + 0 24 + 2x = 26 Add '-24' to each side of the equation. 24 + -24 + 2x = 26 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 26 + -24 2x = 26 + -24 Combine like terms: 26 + -24 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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