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Simplifying 12(x + -5) = -3(x + -30) Reorder the terms: 12(-5 + x) = -3(x + -30) (-5 * 12 + x * 12) = -3(x + -30) (-60 + 12x) = -3(x + -30) Reorder the terms: -60 + 12x = -3(-30 + x) -60 + 12x = (-30 * -3 + x * -3) -60 + 12x = (90 + -3x) Solving -60 + 12x = 90 + -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 + 12x + 3x = 90 + -3x + 3x Combine like terms: 12x + 3x = 15x -60 + 15x = 90 + -3x + 3x Combine like terms: -3x + 3x = 0 -60 + 15x = 90 + 0 -60 + 15x = 90 Add '60' to each side of the equation. -60 + 60 + 15x = 90 + 60 Combine like terms: -60 + 60 = 0 0 + 15x = 90 + 60 15x = 90 + 60 Combine like terms: 90 + 60 = 150 15x = 150 Divide each side by '15'. x = 10 Simplifying x = 10
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