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Simplifying 6x + -2(3 + -2x) = 4(x + -3) + -12 6x + (3 * -2 + -2x * -2) = 4(x + -3) + -12 6x + (-6 + 4x) = 4(x + -3) + -12 Reorder the terms: -6 + 6x + 4x = 4(x + -3) + -12 Combine like terms: 6x + 4x = 10x -6 + 10x = 4(x + -3) + -12 Reorder the terms: -6 + 10x = 4(-3 + x) + -12 -6 + 10x = (-3 * 4 + x * 4) + -12 -6 + 10x = (-12 + 4x) + -12 Reorder the terms: -6 + 10x = -12 + -12 + 4x Combine like terms: -12 + -12 = -24 -6 + 10x = -24 + 4x Solving -6 + 10x = -24 + 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. -6 + 10x + -4x = -24 + 4x + -4x Combine like terms: 10x + -4x = 6x -6 + 6x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 6x = -24 + 0 -6 + 6x = -24 Add '6' to each side of the equation. -6 + 6 + 6x = -24 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = -24 + 6 6x = -24 + 6 Combine like terms: -24 + 6 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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