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Simplifying 6(x + -4) + -3(x + -2) = 12 Reorder the terms: 6(-4 + x) + -3(x + -2) = 12 (-4 * 6 + x * 6) + -3(x + -2) = 12 (-24 + 6x) + -3(x + -2) = 12 Reorder the terms: -24 + 6x + -3(-2 + x) = 12 -24 + 6x + (-2 * -3 + x * -3) = 12 -24 + 6x + (6 + -3x) = 12 Reorder the terms: -24 + 6 + 6x + -3x = 12 Combine like terms: -24 + 6 = -18 -18 + 6x + -3x = 12 Combine like terms: 6x + -3x = 3x -18 + 3x = 12 Solving -18 + 3x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 3x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = 12 + 18 3x = 12 + 18 Combine like terms: 12 + 18 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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