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Simplifying 5(6x + 2) = 7(4x + -6) Reorder the terms: 5(2 + 6x) = 7(4x + -6) (2 * 5 + 6x * 5) = 7(4x + -6) (10 + 30x) = 7(4x + -6) Reorder the terms: 10 + 30x = 7(-6 + 4x) 10 + 30x = (-6 * 7 + 4x * 7) 10 + 30x = (-42 + 28x) Solving 10 + 30x = -42 + 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. 10 + 30x + -28x = -42 + 28x + -28x Combine like terms: 30x + -28x = 2x 10 + 2x = -42 + 28x + -28x Combine like terms: 28x + -28x = 0 10 + 2x = -42 + 0 10 + 2x = -42 Add '-10' to each side of the equation. 10 + -10 + 2x = -42 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = -42 + -10 2x = -42 + -10 Combine like terms: -42 + -10 = -52 2x = -52 Divide each side by '2'. x = -26 Simplifying x = -26
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