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Simplifying 5(2x + -6) = 25(x + 2) Reorder the terms: 5(-6 + 2x) = 25(x + 2) (-6 * 5 + 2x * 5) = 25(x + 2) (-30 + 10x) = 25(x + 2) Reorder the terms: -30 + 10x = 25(2 + x) -30 + 10x = (2 * 25 + x * 25) -30 + 10x = (50 + 25x) Solving -30 + 10x = 50 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -30 + 10x + -25x = 50 + 25x + -25x Combine like terms: 10x + -25x = -15x -30 + -15x = 50 + 25x + -25x Combine like terms: 25x + -25x = 0 -30 + -15x = 50 + 0 -30 + -15x = 50 Add '30' to each side of the equation. -30 + 30 + -15x = 50 + 30 Combine like terms: -30 + 30 = 0 0 + -15x = 50 + 30 -15x = 50 + 30 Combine like terms: 50 + 30 = 80 -15x = 80 Divide each side by '-15'. x = -5.333333333 Simplifying x = -5.333333333
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