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Simplifying -1x + 6 = 5(2x + -1) Reorder the terms: 6 + -1x = 5(2x + -1) Reorder the terms: 6 + -1x = 5(-1 + 2x) 6 + -1x = (-1 * 5 + 2x * 5) 6 + -1x = (-5 + 10x) Solving 6 + -1x = -5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + -1x + -10x = -5 + 10x + -10x Combine like terms: -1x + -10x = -11x 6 + -11x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -11x = -5 + 0 6 + -11x = -5 Add '-6' to each side of the equation. 6 + -6 + -11x = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -11x = -5 + -6 -11x = -5 + -6 Combine like terms: -5 + -6 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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