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Simplifying 6(x + -1) + -5 = 4 + -1(x + 1) Reorder the terms: 6(-1 + x) + -5 = 4 + -1(x + 1) (-1 * 6 + x * 6) + -5 = 4 + -1(x + 1) (-6 + 6x) + -5 = 4 + -1(x + 1) Reorder the terms: -6 + -5 + 6x = 4 + -1(x + 1) Combine like terms: -6 + -5 = -11 -11 + 6x = 4 + -1(x + 1) Reorder the terms: -11 + 6x = 4 + -1(1 + x) -11 + 6x = 4 + (1 * -1 + x * -1) -11 + 6x = 4 + (-1 + -1x) Combine like terms: 4 + -1 = 3 -11 + 6x = 3 + -1x Solving -11 + 6x = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -11 + 6x + x = 3 + -1x + x Combine like terms: 6x + x = 7x -11 + 7x = 3 + -1x + x Combine like terms: -1x + x = 0 -11 + 7x = 3 + 0 -11 + 7x = 3 Add '11' to each side of the equation. -11 + 11 + 7x = 3 + 11 Combine like terms: -11 + 11 = 0 0 + 7x = 3 + 11 7x = 3 + 11 Combine like terms: 3 + 11 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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