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Simplifying -5(x + -1) + x = 6x + -5 Reorder the terms: -5(-1 + x) + x = 6x + -5 (-1 * -5 + x * -5) + x = 6x + -5 (5 + -5x) + x = 6x + -5 Combine like terms: -5x + x = -4x 5 + -4x = 6x + -5 Reorder the terms: 5 + -4x = -5 + 6x Solving 5 + -4x = -5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5 + -4x + -6x = -5 + 6x + -6x Combine like terms: -4x + -6x = -10x 5 + -10x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -10x = -5 + 0 5 + -10x = -5 Add '-5' to each side of the equation. 5 + -5 + -10x = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -10x = -5 + -5 -10x = -5 + -5 Combine like terms: -5 + -5 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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