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Simplifying 5(x + -6) = 11 + -1(x + 1) Reorder the terms: 5(-6 + x) = 11 + -1(x + 1) (-6 * 5 + x * 5) = 11 + -1(x + 1) (-30 + 5x) = 11 + -1(x + 1) Reorder the terms: -30 + 5x = 11 + -1(1 + x) -30 + 5x = 11 + (1 * -1 + x * -1) -30 + 5x = 11 + (-1 + -1x) Combine like terms: 11 + -1 = 10 -30 + 5x = 10 + -1x Solving -30 + 5x = 10 + -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. -30 + 5x + x = 10 + -1x + x Combine like terms: 5x + x = 6x -30 + 6x = 10 + -1x + x Combine like terms: -1x + x = 0 -30 + 6x = 10 + 0 -30 + 6x = 10 Add '30' to each side of the equation. -30 + 30 + 6x = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 6x = 10 + 30 6x = 10 + 30 Combine like terms: 10 + 30 = 40 6x = 40 Divide each side by '6'. x = 6.666666667 Simplifying x = 6.666666667
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