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Simplifying 5(2x + -6) = 7(-2x + 4) Reorder the terms: 5(-6 + 2x) = 7(-2x + 4) (-6 * 5 + 2x * 5) = 7(-2x + 4) (-30 + 10x) = 7(-2x + 4) Reorder the terms: -30 + 10x = 7(4 + -2x) -30 + 10x = (4 * 7 + -2x * 7) -30 + 10x = (28 + -14x) Solving -30 + 10x = 28 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -30 + 10x + 14x = 28 + -14x + 14x Combine like terms: 10x + 14x = 24x -30 + 24x = 28 + -14x + 14x Combine like terms: -14x + 14x = 0 -30 + 24x = 28 + 0 -30 + 24x = 28 Add '30' to each side of the equation. -30 + 30 + 24x = 28 + 30 Combine like terms: -30 + 30 = 0 0 + 24x = 28 + 30 24x = 28 + 30 Combine like terms: 28 + 30 = 58 24x = 58 Divide each side by '24'. x = 2.416666667 Simplifying x = 2.416666667
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