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