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Simplifying 3(5 + 6x) = -35 + 8x (5 * 3 + 6x * 3) = -35 + 8x (15 + 18x) = -35 + 8x Solving 15 + 18x = -35 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + 18x + -8x = -35 + 8x + -8x Combine like terms: 18x + -8x = 10x 15 + 10x = -35 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + 10x = -35 + 0 15 + 10x = -35 Add '-15' to each side of the equation. 15 + -15 + 10x = -35 + -15 Combine like terms: 15 + -15 = 0 0 + 10x = -35 + -15 10x = -35 + -15 Combine like terms: -35 + -15 = -50 10x = -50 Divide each side by '10'. x = -5 Simplifying x = -5
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