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Simplifying 5(2x + 4) + 10 = -2x + -30 Reorder the terms: 5(4 + 2x) + 10 = -2x + -30 (4 * 5 + 2x * 5) + 10 = -2x + -30 (20 + 10x) + 10 = -2x + -30 Reorder the terms: 20 + 10 + 10x = -2x + -30 Combine like terms: 20 + 10 = 30 30 + 10x = -2x + -30 Reorder the terms: 30 + 10x = -30 + -2x Solving 30 + 10x = -30 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 30 + 10x + 2x = -30 + -2x + 2x Combine like terms: 10x + 2x = 12x 30 + 12x = -30 + -2x + 2x Combine like terms: -2x + 2x = 0 30 + 12x = -30 + 0 30 + 12x = -30 Add '-30' to each side of the equation. 30 + -30 + 12x = -30 + -30 Combine like terms: 30 + -30 = 0 0 + 12x = -30 + -30 12x = -30 + -30 Combine like terms: -30 + -30 = -60 12x = -60 Divide each side by '12'. x = -5 Simplifying x = -5
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