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Simplifying 5(x + -12) + -24 = 3(x + 2) Reorder the terms: 5(-12 + x) + -24 = 3(x + 2) (-12 * 5 + x * 5) + -24 = 3(x + 2) (-60 + 5x) + -24 = 3(x + 2) Reorder the terms: -60 + -24 + 5x = 3(x + 2) Combine like terms: -60 + -24 = -84 -84 + 5x = 3(x + 2) Reorder the terms: -84 + 5x = 3(2 + x) -84 + 5x = (2 * 3 + x * 3) -84 + 5x = (6 + 3x) Solving -84 + 5x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -84 + 5x + -3x = 6 + 3x + -3x Combine like terms: 5x + -3x = 2x -84 + 2x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -84 + 2x = 6 + 0 -84 + 2x = 6 Add '84' to each side of the equation. -84 + 84 + 2x = 6 + 84 Combine like terms: -84 + 84 = 0 0 + 2x = 6 + 84 2x = 6 + 84 Combine like terms: 6 + 84 = 90 2x = 90 Divide each side by '2'. x = 45 Simplifying x = 45
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