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Simplifying 2(x + 6) = 6 + -4(x + -6) Reorder the terms: 2(6 + x) = 6 + -4(x + -6) (6 * 2 + x * 2) = 6 + -4(x + -6) (12 + 2x) = 6 + -4(x + -6) Reorder the terms: 12 + 2x = 6 + -4(-6 + x) 12 + 2x = 6 + (-6 * -4 + x * -4) 12 + 2x = 6 + (24 + -4x) Combine like terms: 6 + 24 = 30 12 + 2x = 30 + -4x Solving 12 + 2x = 30 + -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. 12 + 2x + 4x = 30 + -4x + 4x Combine like terms: 2x + 4x = 6x 12 + 6x = 30 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 6x = 30 + 0 12 + 6x = 30 Add '-12' to each side of the equation. 12 + -12 + 6x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 30 + -12 6x = 30 + -12 Combine like terms: 30 + -12 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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