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Simplifying 12 + -4x = -6(x + -3) Reorder the terms: 12 + -4x = -6(-3 + x) 12 + -4x = (-3 * -6 + x * -6) 12 + -4x = (18 + -6x) Solving 12 + -4x = 18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 12 + -4x + 6x = 18 + -6x + 6x Combine like terms: -4x + 6x = 2x 12 + 2x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + 2x = 18 + 0 12 + 2x = 18 Add '-12' to each side of the equation. 12 + -12 + 2x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 18 + -12 2x = 18 + -12 Combine like terms: 18 + -12 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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