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Simplifying 4(-7x + 6) = -2(7x + -5) Reorder the terms: 4(6 + -7x) = -2(7x + -5) (6 * 4 + -7x * 4) = -2(7x + -5) (24 + -28x) = -2(7x + -5) Reorder the terms: 24 + -28x = -2(-5 + 7x) 24 + -28x = (-5 * -2 + 7x * -2) 24 + -28x = (10 + -14x) Solving 24 + -28x = 10 + -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. 24 + -28x + 14x = 10 + -14x + 14x Combine like terms: -28x + 14x = -14x 24 + -14x = 10 + -14x + 14x Combine like terms: -14x + 14x = 0 24 + -14x = 10 + 0 24 + -14x = 10 Add '-24' to each side of the equation. 24 + -24 + -14x = 10 + -24 Combine like terms: 24 + -24 = 0 0 + -14x = 10 + -24 -14x = 10 + -24 Combine like terms: 10 + -24 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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