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Simplifying 6x + -3(2x + 4) = -6(x + -1) Reorder the terms: 6x + -3(4 + 2x) = -6(x + -1) 6x + (4 * -3 + 2x * -3) = -6(x + -1) 6x + (-12 + -6x) = -6(x + -1) Reorder the terms: -12 + 6x + -6x = -6(x + -1) Combine like terms: 6x + -6x = 0 -12 + 0 = -6(x + -1) -12 = -6(x + -1) Reorder the terms: -12 = -6(-1 + x) -12 = (-1 * -6 + x * -6) -12 = (6 + -6x) Solving -12 = 6 + -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 + 6x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 6x = 6 + 0 -12 + 6x = 6 Add '12' to each side of the equation. -12 + 12 + 6x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 6 + 12 6x = 6 + 12 Combine like terms: 6 + 12 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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