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Simplifying 3(x + 2) = 4(x + -6) Reorder the terms: 3(2 + x) = 4(x + -6) (2 * 3 + x * 3) = 4(x + -6) (6 + 3x) = 4(x + -6) Reorder the terms: 6 + 3x = 4(-6 + x) 6 + 3x = (-6 * 4 + x * 4) 6 + 3x = (-24 + 4x) Solving 6 + 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. 6 + 3x + -4x = -24 + 4x + -4x Combine like terms: 3x + -4x = -1x 6 + -1x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -1x = -24 + 0 6 + -1x = -24 Add '-6' to each side of the equation. 6 + -6 + -1x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -24 + -6 -1x = -24 + -6 Combine like terms: -24 + -6 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30
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