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Simplifying 6(x + -2) + -4(x + 3) = 12 Reorder the terms: 6(-2 + x) + -4(x + 3) = 12 (-2 * 6 + x * 6) + -4(x + 3) = 12 (-12 + 6x) + -4(x + 3) = 12 Reorder the terms: -12 + 6x + -4(3 + x) = 12 -12 + 6x + (3 * -4 + x * -4) = 12 -12 + 6x + (-12 + -4x) = 12 Reorder the terms: -12 + -12 + 6x + -4x = 12 Combine like terms: -12 + -12 = -24 -24 + 6x + -4x = 12 Combine like terms: 6x + -4x = 2x -24 + 2x = 12 Solving -24 + 2x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 2x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = 12 + 24 2x = 12 + 24 Combine like terms: 12 + 24 = 36 2x = 36 Divide each side by '2'. x = 18 Simplifying x = 18
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