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