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Simplifying -7(-2x + -4) = 5(-2x + 6) Reorder the terms: -7(-4 + -2x) = 5(-2x + 6) (-4 * -7 + -2x * -7) = 5(-2x + 6) (28 + 14x) = 5(-2x + 6) Reorder the terms: 28 + 14x = 5(6 + -2x) 28 + 14x = (6 * 5 + -2x * 5) 28 + 14x = (30 + -10x) Solving 28 + 14x = 30 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 28 + 14x + 10x = 30 + -10x + 10x Combine like terms: 14x + 10x = 24x 28 + 24x = 30 + -10x + 10x Combine like terms: -10x + 10x = 0 28 + 24x = 30 + 0 28 + 24x = 30 Add '-28' to each side of the equation. 28 + -28 + 24x = 30 + -28 Combine like terms: 28 + -28 = 0 0 + 24x = 30 + -28 24x = 30 + -28 Combine like terms: 30 + -28 = 2 24x = 2 Divide each side by '24'. x = 0.08333333333 Simplifying x = 0.08333333333
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