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Simplifying 3(x + 2) = 7(x + -6) Reorder the terms: 3(2 + x) = 7(x + -6) (2 * 3 + x * 3) = 7(x + -6) (6 + 3x) = 7(x + -6) Reorder the terms: 6 + 3x = 7(-6 + x) 6 + 3x = (-6 * 7 + x * 7) 6 + 3x = (-42 + 7x) Solving 6 + 3x = -42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + 3x + -7x = -42 + 7x + -7x Combine like terms: 3x + -7x = -4x 6 + -4x = -42 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -4x = -42 + 0 6 + -4x = -42 Add '-6' to each side of the equation. 6 + -6 + -4x = -42 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -42 + -6 -4x = -42 + -6 Combine like terms: -42 + -6 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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