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Simplifying 5(x + -1) + 7 = 6x + 1 Reorder the terms: 5(-1 + x) + 7 = 6x + 1 (-1 * 5 + x * 5) + 7 = 6x + 1 (-5 + 5x) + 7 = 6x + 1 Reorder the terms: -5 + 7 + 5x = 6x + 1 Combine like terms: -5 + 7 = 2 2 + 5x = 6x + 1 Reorder the terms: 2 + 5x = 1 + 6x Solving 2 + 5x = 1 + 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. 2 + 5x + -6x = 1 + 6x + -6x Combine like terms: 5x + -6x = -1x 2 + -1x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -1x = 1 + 0 2 + -1x = 1 Add '-2' to each side of the equation. 2 + -2 + -1x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 1 + -2 -1x = 1 + -2 Combine like terms: 1 + -2 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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