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Simplifying 5(x + -4) + -3(x + -2) = 12 Reorder the terms: 5(-4 + x) + -3(x + -2) = 12 (-4 * 5 + x * 5) + -3(x + -2) = 12 (-20 + 5x) + -3(x + -2) = 12 Reorder the terms: -20 + 5x + -3(-2 + x) = 12 -20 + 5x + (-2 * -3 + x * -3) = 12 -20 + 5x + (6 + -3x) = 12 Reorder the terms: -20 + 6 + 5x + -3x = 12 Combine like terms: -20 + 6 = -14 -14 + 5x + -3x = 12 Combine like terms: 5x + -3x = 2x -14 + 2x = 12 Solving -14 + 2x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 2x = 12 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 12 + 14 2x = 12 + 14 Combine like terms: 12 + 14 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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