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Simplifying 8(x + -3) = 5(x + 4) + 1 Reorder the terms: 8(-3 + x) = 5(x + 4) + 1 (-3 * 8 + x * 8) = 5(x + 4) + 1 (-24 + 8x) = 5(x + 4) + 1 Reorder the terms: -24 + 8x = 5(4 + x) + 1 -24 + 8x = (4 * 5 + x * 5) + 1 -24 + 8x = (20 + 5x) + 1 Reorder the terms: -24 + 8x = 20 + 1 + 5x Combine like terms: 20 + 1 = 21 -24 + 8x = 21 + 5x Solving -24 + 8x = 21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -24 + 8x + -5x = 21 + 5x + -5x Combine like terms: 8x + -5x = 3x -24 + 3x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + 3x = 21 + 0 -24 + 3x = 21 Add '24' to each side of the equation. -24 + 24 + 3x = 21 + 24 Combine like terms: -24 + 24 = 0 0 + 3x = 21 + 24 3x = 21 + 24 Combine like terms: 21 + 24 = 45 3x = 45 Divide each side by '3'. x = 15 Simplifying x = 15
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