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Simplifying -12 + 6x = 6 + 5(x + -5) + 8 Reorder the terms: -12 + 6x = 6 + 5(-5 + x) + 8 -12 + 6x = 6 + (-5 * 5 + x * 5) + 8 -12 + 6x = 6 + (-25 + 5x) + 8 Reorder the terms: -12 + 6x = 6 + -25 + 8 + 5x Combine like terms: 6 + -25 = -19 -12 + 6x = -19 + 8 + 5x Combine like terms: -19 + 8 = -11 -12 + 6x = -11 + 5x Solving -12 + 6x = -11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 6x + -5x = -11 + 5x + -5x Combine like terms: 6x + -5x = 1x -12 + 1x = -11 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 1x = -11 + 0 -12 + 1x = -11 Add '12' to each side of the equation. -12 + 12 + 1x = -11 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -11 + 12 1x = -11 + 12 Combine like terms: -11 + 12 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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