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Simplifying 5(x + 3) = 3(-8 + 6x) Reorder the terms: 5(3 + x) = 3(-8 + 6x) (3 * 5 + x * 5) = 3(-8 + 6x) (15 + 5x) = 3(-8 + 6x) 15 + 5x = (-8 * 3 + 6x * 3) 15 + 5x = (-24 + 18x) Solving 15 + 5x = -24 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 15 + 5x + -18x = -24 + 18x + -18x Combine like terms: 5x + -18x = -13x 15 + -13x = -24 + 18x + -18x Combine like terms: 18x + -18x = 0 15 + -13x = -24 + 0 15 + -13x = -24 Add '-15' to each side of the equation. 15 + -15 + -13x = -24 + -15 Combine like terms: 15 + -15 = 0 0 + -13x = -24 + -15 -13x = -24 + -15 Combine like terms: -24 + -15 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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