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Simplifying x + -5 = 15 + -12(x + 6) Reorder the terms: -5 + x = 15 + -12(x + 6) Reorder the terms: -5 + x = 15 + -12(6 + x) -5 + x = 15 + (6 * -12 + x * -12) -5 + x = 15 + (-72 + -12x) Combine like terms: 15 + -72 = -57 -5 + x = -57 + -12x Solving -5 + x = -57 + -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. -5 + x + 12x = -57 + -12x + 12x Combine like terms: x + 12x = 13x -5 + 13x = -57 + -12x + 12x Combine like terms: -12x + 12x = 0 -5 + 13x = -57 + 0 -5 + 13x = -57 Add '5' to each side of the equation. -5 + 5 + 13x = -57 + 5 Combine like terms: -5 + 5 = 0 0 + 13x = -57 + 5 13x = -57 + 5 Combine like terms: -57 + 5 = -52 13x = -52 Divide each side by '13'. x = -4 Simplifying x = -4
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