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Simplifying 4(3x + 7) = 5(2x + -6) Reorder the terms: 4(7 + 3x) = 5(2x + -6) (7 * 4 + 3x * 4) = 5(2x + -6) (28 + 12x) = 5(2x + -6) Reorder the terms: 28 + 12x = 5(-6 + 2x) 28 + 12x = (-6 * 5 + 2x * 5) 28 + 12x = (-30 + 10x) Solving 28 + 12x = -30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 28 + 12x + -10x = -30 + 10x + -10x Combine like terms: 12x + -10x = 2x 28 + 2x = -30 + 10x + -10x Combine like terms: 10x + -10x = 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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