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Simplifying -6(5 + -1x) + 1 = 3(x + 2) (5 * -6 + -1x * -6) + 1 = 3(x + 2) (-30 + 6x) + 1 = 3(x + 2) Reorder the terms: -30 + 1 + 6x = 3(x + 2) Combine like terms: -30 + 1 = -29 -29 + 6x = 3(x + 2) Reorder the terms: -29 + 6x = 3(2 + x) -29 + 6x = (2 * 3 + x * 3) -29 + 6x = (6 + 3x) Solving -29 + 6x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -29 + 6x + -3x = 6 + 3x + -3x Combine like terms: 6x + -3x = 3x -29 + 3x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -29 + 3x = 6 + 0 -29 + 3x = 6 Add '29' to each side of the equation. -29 + 29 + 3x = 6 + 29 Combine like terms: -29 + 29 = 0 0 + 3x = 6 + 29 3x = 6 + 29 Combine like terms: 6 + 29 = 35 3x = 35 Divide each side by '3'. x = 11.66666667 Simplifying x = 11.66666667
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