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Simplifying -4(7x + -2) = -6(5x + -8) Reorder the terms: -4(-2 + 7x) = -6(5x + -8) (-2 * -4 + 7x * -4) = -6(5x + -8) (8 + -28x) = -6(5x + -8) Reorder the terms: 8 + -28x = -6(-8 + 5x) 8 + -28x = (-8 * -6 + 5x * -6) 8 + -28x = (48 + -30x) Solving 8 + -28x = 48 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 8 + -28x + 30x = 48 + -30x + 30x Combine like terms: -28x + 30x = 2x 8 + 2x = 48 + -30x + 30x Combine like terms: -30x + 30x = 0 8 + 2x = 48 + 0 8 + 2x = 48 Add '-8' to each side of the equation. 8 + -8 + 2x = 48 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 48 + -8 2x = 48 + -8 Combine like terms: 48 + -8 = 40 2x = 40 Divide each side by '2'. x = 20 Simplifying x = 20
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