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Simplifying 6(x + -3) + -2(x + 5) = 12 Reorder the terms: 6(-3 + x) + -2(x + 5) = 12 (-3 * 6 + x * 6) + -2(x + 5) = 12 (-18 + 6x) + -2(x + 5) = 12 Reorder the terms: -18 + 6x + -2(5 + x) = 12 -18 + 6x + (5 * -2 + x * -2) = 12 -18 + 6x + (-10 + -2x) = 12 Reorder the terms: -18 + -10 + 6x + -2x = 12 Combine like terms: -18 + -10 = -28 -28 + 6x + -2x = 12 Combine like terms: 6x + -2x = 4x -28 + 4x = 12 Solving -28 + 4x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 4x = 12 + 28 Combine like terms: -28 + 28 = 0 0 + 4x = 12 + 28 4x = 12 + 28 Combine like terms: 12 + 28 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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