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Simplifying 8(x + -3) = 5(x + 3) Reorder the terms: 8(-3 + x) = 5(x + 3) (-3 * 8 + x * 8) = 5(x + 3) (-24 + 8x) = 5(x + 3) Reorder the terms: -24 + 8x = 5(3 + x) -24 + 8x = (3 * 5 + x * 5) -24 + 8x = (15 + 5x) Solving -24 + 8x = 15 + 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 = 15 + 5x + -5x Combine like terms: 8x + -5x = 3x -24 + 3x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + 3x = 15 + 0 -24 + 3x = 15 Add '24' to each side of the equation. -24 + 24 + 3x = 15 + 24 Combine like terms: -24 + 24 = 0 0 + 3x = 15 + 24 3x = 15 + 24 Combine like terms: 15 + 24 = 39 3x = 39 Divide each side by '3'. x = 13 Simplifying x = 13
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