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Simplifying 12x + -6 = 12 + -1(x + 6) Reorder the terms: -6 + 12x = 12 + -1(x + 6) Reorder the terms: -6 + 12x = 12 + -1(6 + x) -6 + 12x = 12 + (6 * -1 + x * -1) -6 + 12x = 12 + (-6 + -1x) Combine like terms: 12 + -6 = 6 -6 + 12x = 6 + -1x Solving -6 + 12x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + 12x + x = 6 + -1x + x Combine like terms: 12x + x = 13x -6 + 13x = 6 + -1x + x Combine like terms: -1x + x = 0 -6 + 13x = 6 + 0 -6 + 13x = 6 Add '6' to each side of the equation. -6 + 6 + 13x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 13x = 6 + 6 13x = 6 + 6 Combine like terms: 6 + 6 = 12 13x = 12 Divide each side by '13'. x = 0.9230769231 Simplifying x = 0.9230769231
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