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Simplifying 7(3x + 4) = 3(6x + -6) Reorder the terms: 7(4 + 3x) = 3(6x + -6) (4 * 7 + 3x * 7) = 3(6x + -6) (28 + 21x) = 3(6x + -6) Reorder the terms: 28 + 21x = 3(-6 + 6x) 28 + 21x = (-6 * 3 + 6x * 3) 28 + 21x = (-18 + 18x) Solving 28 + 21x = -18 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 28 + 21x + -18x = -18 + 18x + -18x Combine like terms: 21x + -18x = 3x 28 + 3x = -18 + 18x + -18x Combine like terms: 18x + -18x = 0 28 + 3x = -18 + 0 28 + 3x = -18 Add '-28' to each side of the equation. 28 + -28 + 3x = -18 + -28 Combine like terms: 28 + -28 = 0 0 + 3x = -18 + -28 3x = -18 + -28 Combine like terms: -18 + -28 = -46 3x = -46 Divide each side by '3'. x = -15.33333333 Simplifying x = -15.33333333
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