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Simplifying 3(x + -8) = 2(x + 4) + 1 Reorder the terms: 3(-8 + x) = 2(x + 4) + 1 (-8 * 3 + x * 3) = 2(x + 4) + 1 (-24 + 3x) = 2(x + 4) + 1 Reorder the terms: -24 + 3x = 2(4 + x) + 1 -24 + 3x = (4 * 2 + x * 2) + 1 -24 + 3x = (8 + 2x) + 1 Reorder the terms: -24 + 3x = 8 + 1 + 2x Combine like terms: 8 + 1 = 9 -24 + 3x = 9 + 2x Solving -24 + 3x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -24 + 3x + -2x = 9 + 2x + -2x Combine like terms: 3x + -2x = 1x -24 + 1x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 1x = 9 + 0 -24 + 1x = 9 Add '24' to each side of the equation. -24 + 24 + 1x = 9 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = 9 + 24 1x = 9 + 24 Combine like terms: 9 + 24 = 33 1x = 33 Divide each side by '1'. x = 33 Simplifying x = 33
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