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Simplifying 7(3x + 6) = 6(3x + -4) Reorder the terms: 7(6 + 3x) = 6(3x + -4) (6 * 7 + 3x * 7) = 6(3x + -4) (42 + 21x) = 6(3x + -4) Reorder the terms: 42 + 21x = 6(-4 + 3x) 42 + 21x = (-4 * 6 + 3x * 6) 42 + 21x = (-24 + 18x) Solving 42 + 21x = -24 + 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. 42 + 21x + -18x = -24 + 18x + -18x Combine like terms: 21x + -18x = 3x 42 + 3x = -24 + 18x + -18x Combine like terms: 18x + -18x = 0 42 + 3x = -24 + 0 42 + 3x = -24 Add '-42' to each side of the equation. 42 + -42 + 3x = -24 + -42 Combine like terms: 42 + -42 = 0 0 + 3x = -24 + -42 3x = -24 + -42 Combine like terms: -24 + -42 = -66 3x = -66 Divide each side by '3'. x = -22 Simplifying x = -22
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