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Simplifying 4(2x + 5) = -2x + 30 Reorder the terms: 4(5 + 2x) = -2x + 30 (5 * 4 + 2x * 4) = -2x + 30 (20 + 8x) = -2x + 30 Reorder the terms: 20 + 8x = 30 + -2x Solving 20 + 8x = 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. 20 + 8x + 2x = 30 + -2x + 2x Combine like terms: 8x + 2x = 10x 20 + 10x = 30 + -2x + 2x Combine like terms: -2x + 2x = 0 20 + 10x = 30 + 0 20 + 10x = 30 Add '-20' to each side of the equation. 20 + -20 + 10x = 30 + -20 Combine like terms: 20 + -20 = 0 0 + 10x = 30 + -20 10x = 30 + -20 Combine like terms: 30 + -20 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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