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Simplifying 6x + -6 = 5(x + -1) + -10 Reorder the terms: -6 + 6x = 5(x + -1) + -10 Reorder the terms: -6 + 6x = 5(-1 + x) + -10 -6 + 6x = (-1 * 5 + x * 5) + -10 -6 + 6x = (-5 + 5x) + -10 Reorder the terms: -6 + 6x = -5 + -10 + 5x Combine like terms: -5 + -10 = -15 -6 + 6x = -15 + 5x Solving -6 + 6x = -15 + 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. -6 + 6x + -5x = -15 + 5x + -5x Combine like terms: 6x + -5x = 1x -6 + 1x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 1x = -15 + 0 -6 + 1x = -15 Add '6' to each side of the equation. -6 + 6 + 1x = -15 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -15 + 6 1x = -15 + 6 Combine like terms: -15 + 6 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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