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Simplifying 3(x + 8) = -5(3x + -6) + 2x Reorder the terms: 3(8 + x) = -5(3x + -6) + 2x (8 * 3 + x * 3) = -5(3x + -6) + 2x (24 + 3x) = -5(3x + -6) + 2x Reorder the terms: 24 + 3x = -5(-6 + 3x) + 2x 24 + 3x = (-6 * -5 + 3x * -5) + 2x 24 + 3x = (30 + -15x) + 2x Combine like terms: -15x + 2x = -13x 24 + 3x = 30 + -13x Solving 24 + 3x = 30 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 24 + 3x + 13x = 30 + -13x + 13x Combine like terms: 3x + 13x = 16x 24 + 16x = 30 + -13x + 13x Combine like terms: -13x + 13x = 0 24 + 16x = 30 + 0 24 + 16x = 30 Add '-24' to each side of the equation. 24 + -24 + 16x = 30 + -24 Combine like terms: 24 + -24 = 0 0 + 16x = 30 + -24 16x = 30 + -24 Combine like terms: 30 + -24 = 6 16x = 6 Divide each side by '16'. x = 0.375 Simplifying x = 0.375
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