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Simplifying 5(2x + 4) + -5 = 2(6x + 5) Reorder the terms: 5(4 + 2x) + -5 = 2(6x + 5) (4 * 5 + 2x * 5) + -5 = 2(6x + 5) (20 + 10x) + -5 = 2(6x + 5) Reorder the terms: 20 + -5 + 10x = 2(6x + 5) Combine like terms: 20 + -5 = 15 15 + 10x = 2(6x + 5) Reorder the terms: 15 + 10x = 2(5 + 6x) 15 + 10x = (5 * 2 + 6x * 2) 15 + 10x = (10 + 12x) Solving 15 + 10x = 10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 15 + 10x + -12x = 10 + 12x + -12x Combine like terms: 10x + -12x = -2x 15 + -2x = 10 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + -2x = 10 + 0 15 + -2x = 10 Add '-15' to each side of the equation. 15 + -15 + -2x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 10 + -15 -2x = 10 + -15 Combine like terms: 10 + -15 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5
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