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Simplifying 10 + 8(x + -3) = 5(x + 8) Reorder the terms: 10 + 8(-3 + x) = 5(x + 8) 10 + (-3 * 8 + x * 8) = 5(x + 8) 10 + (-24 + 8x) = 5(x + 8) Combine like terms: 10 + -24 = -14 -14 + 8x = 5(x + 8) Reorder the terms: -14 + 8x = 5(8 + x) -14 + 8x = (8 * 5 + x * 5) -14 + 8x = (40 + 5x) Solving -14 + 8x = 40 + 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. -14 + 8x + -5x = 40 + 5x + -5x Combine like terms: 8x + -5x = 3x -14 + 3x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 3x = 40 + 0 -14 + 3x = 40 Add '14' to each side of the equation. -14 + 14 + 3x = 40 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 40 + 14 3x = 40 + 14 Combine like terms: 40 + 14 = 54 3x = 54 Divide each side by '3'. x = 18 Simplifying x = 18
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