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Simplifying 3(x + 6) = 4(x + -6) Reorder the terms: 3(6 + x) = 4(x + -6) (6 * 3 + x * 3) = 4(x + -6) (18 + 3x) = 4(x + -6) Reorder the terms: 18 + 3x = 4(-6 + x) 18 + 3x = (-6 * 4 + x * 4) 18 + 3x = (-24 + 4x) Solving 18 + 3x = -24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + 3x + -4x = -24 + 4x + -4x Combine like terms: 3x + -4x = -1x 18 + -1x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + -1x = -24 + 0 18 + -1x = -24 Add '-18' to each side of the equation. 18 + -18 + -1x = -24 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = -24 + -18 -1x = -24 + -18 Combine like terms: -24 + -18 = -42 -1x = -42 Divide each side by '-1'. x = 42 Simplifying x = 42
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