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Simplifying -5(x + 12) = 3(x + 2) Reorder the terms: -5(12 + x) = 3(x + 2) (12 * -5 + x * -5) = 3(x + 2) (-60 + -5x) = 3(x + 2) Reorder the terms: -60 + -5x = 3(2 + x) -60 + -5x = (2 * 3 + x * 3) -60 + -5x = (6 + 3x) Solving -60 + -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. -60 + -5x + -3x = 6 + 3x + -3x Combine like terms: -5x + -3x = -8x -60 + -8x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -60 + -8x = 6 + 0 -60 + -8x = 6 Add '60' to each side of the equation. -60 + 60 + -8x = 6 + 60 Combine like terms: -60 + 60 = 0 0 + -8x = 6 + 60 -8x = 6 + 60 Combine like terms: 6 + 60 = 66 -8x = 66 Divide each side by '-8'. x = -8.25 Simplifying x = -8.25
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