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Simplifying 4(-4x + -6) = 4(7x + 5) Reorder the terms: 4(-6 + -4x) = 4(7x + 5) (-6 * 4 + -4x * 4) = 4(7x + 5) (-24 + -16x) = 4(7x + 5) Reorder the terms: -24 + -16x = 4(5 + 7x) -24 + -16x = (5 * 4 + 7x * 4) -24 + -16x = (20 + 28x) Solving -24 + -16x = 20 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -24 + -16x + -28x = 20 + 28x + -28x Combine like terms: -16x + -28x = -44x -24 + -44x = 20 + 28x + -28x Combine like terms: 28x + -28x = 0 -24 + -44x = 20 + 0 -24 + -44x = 20 Add '24' to each side of the equation. -24 + 24 + -44x = 20 + 24 Combine like terms: -24 + 24 = 0 0 + -44x = 20 + 24 -44x = 20 + 24 Combine like terms: 20 + 24 = 44 -44x = 44 Divide each side by '-44'. x = -1 Simplifying x = -1
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