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Simplifying 5(x + -3) + 2(3 + -1x) = 12 Reorder the terms: 5(-3 + x) + 2(3 + -1x) = 12 (-3 * 5 + x * 5) + 2(3 + -1x) = 12 (-15 + 5x) + 2(3 + -1x) = 12 -15 + 5x + (3 * 2 + -1x * 2) = 12 -15 + 5x + (6 + -2x) = 12 Reorder the terms: -15 + 6 + 5x + -2x = 12 Combine like terms: -15 + 6 = -9 -9 + 5x + -2x = 12 Combine like terms: 5x + -2x = 3x -9 + 3x = 12 Solving -9 + 3x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 3x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 12 + 9 3x = 12 + 9 Combine like terms: 12 + 9 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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