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Simplifying 1(x + -1) + -6 = 5 + -5x + 6 Reorder the terms: 1(-1 + x) + -6 = 5 + -5x + 6 (-1 * 1 + x * 1) + -6 = 5 + -5x + 6 (-1 + 1x) + -6 = 5 + -5x + 6 Reorder the terms: -1 + -6 + 1x = 5 + -5x + 6 Combine like terms: -1 + -6 = -7 -7 + 1x = 5 + -5x + 6 Reorder the terms: -7 + 1x = 5 + 6 + -5x Combine like terms: 5 + 6 = 11 -7 + 1x = 11 + -5x Solving -7 + 1x = 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. -7 + 1x + 5x = 11 + -5x + 5x Combine like terms: 1x + 5x = 6x -7 + 6x = 11 + -5x + 5x Combine like terms: -5x + 5x = 0 -7 + 6x = 11 + 0 -7 + 6x = 11 Add '7' to each side of the equation. -7 + 7 + 6x = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = 11 + 7 6x = 11 + 7 Combine like terms: 11 + 7 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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