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Simplifying 7(x + 4) = 5(x + -6) Reorder the terms: 7(4 + x) = 5(x + -6) (4 * 7 + x * 7) = 5(x + -6) (28 + 7x) = 5(x + -6) Reorder the terms: 28 + 7x = 5(-6 + x) 28 + 7x = (-6 * 5 + x * 5) 28 + 7x = (-30 + 5x) Solving 28 + 7x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 28 + 7x + -5x = -30 + 5x + -5x Combine like terms: 7x + -5x = 2x 28 + 2x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 28 + 2x = -30 + 0 28 + 2x = -30 Add '-28' to each side of the equation. 28 + -28 + 2x = -30 + -28 Combine like terms: 28 + -28 = 0 0 + 2x = -30 + -28 2x = -30 + -28 Combine like terms: -30 + -28 = -58 2x = -58 Divide each side by '2'. x = -29 Simplifying x = -29
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