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Simplifying 5(2x + 6) = -1(5 + -2x) + 3x Reorder the terms: 5(6 + 2x) = -1(5 + -2x) + 3x (6 * 5 + 2x * 5) = -1(5 + -2x) + 3x (30 + 10x) = -1(5 + -2x) + 3x 30 + 10x = (5 * -1 + -2x * -1) + 3x 30 + 10x = (-5 + 2x) + 3x Combine like terms: 2x + 3x = 5x 30 + 10x = -5 + 5x Solving 30 + 10x = -5 + 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. 30 + 10x + -5x = -5 + 5x + -5x Combine like terms: 10x + -5x = 5x 30 + 5x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + 5x = -5 + 0 30 + 5x = -5 Add '-30' to each side of the equation. 30 + -30 + 5x = -5 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = -5 + -30 5x = -5 + -30 Combine like terms: -5 + -30 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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