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Simplifying -2(x + -8) + 3(9x + 3) = 24(x + 1) + 2 Reorder the terms: -2(-8 + x) + 3(9x + 3) = 24(x + 1) + 2 (-8 * -2 + x * -2) + 3(9x + 3) = 24(x + 1) + 2 (16 + -2x) + 3(9x + 3) = 24(x + 1) + 2 Reorder the terms: 16 + -2x + 3(3 + 9x) = 24(x + 1) + 2 16 + -2x + (3 * 3 + 9x * 3) = 24(x + 1) + 2 16 + -2x + (9 + 27x) = 24(x + 1) + 2 Reorder the terms: 16 + 9 + -2x + 27x = 24(x + 1) + 2 Combine like terms: 16 + 9 = 25 25 + -2x + 27x = 24(x + 1) + 2 Combine like terms: -2x + 27x = 25x 25 + 25x = 24(x + 1) + 2 Reorder the terms: 25 + 25x = 24(1 + x) + 2 25 + 25x = (1 * 24 + x * 24) + 2 25 + 25x = (24 + 24x) + 2 Reorder the terms: 25 + 25x = 24 + 2 + 24x Combine like terms: 24 + 2 = 26 25 + 25x = 26 + 24x Solving 25 + 25x = 26 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 25 + 25x + -24x = 26 + 24x + -24x Combine like terms: 25x + -24x = 1x 25 + 1x = 26 + 24x + -24x Combine like terms: 24x + -24x = 0 25 + 1x = 26 + 0 25 + 1x = 26 Add '-25' to each side of the equation. 25 + -25 + 1x = 26 + -25 Combine like terms: 25 + -25 = 0 0 + 1x = 26 + -25 1x = 26 + -25 Combine like terms: 26 + -25 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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