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Simplifying 5x + 3(x + -8) = 5(x + -3) Reorder the terms: 5x + 3(-8 + x) = 5(x + -3) 5x + (-8 * 3 + x * 3) = 5(x + -3) 5x + (-24 + 3x) = 5(x + -3) Reorder the terms: -24 + 5x + 3x = 5(x + -3) Combine like terms: 5x + 3x = 8x -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 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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