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Simplifying -6(5 + -1x) + 3 = 3(x + -1) (5 * -6 + -1x * -6) + 3 = 3(x + -1) (-30 + 6x) + 3 = 3(x + -1) Reorder the terms: -30 + 3 + 6x = 3(x + -1) Combine like terms: -30 + 3 = -27 -27 + 6x = 3(x + -1) Reorder the terms: -27 + 6x = 3(-1 + x) -27 + 6x = (-1 * 3 + x * 3) -27 + 6x = (-3 + 3x) Solving -27 + 6x = -3 + 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. -27 + 6x + -3x = -3 + 3x + -3x Combine like terms: 6x + -3x = 3x -27 + 3x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -27 + 3x = -3 + 0 -27 + 3x = -3 Add '27' to each side of the equation. -27 + 27 + 3x = -3 + 27 Combine like terms: -27 + 27 = 0 0 + 3x = -3 + 27 3x = -3 + 27 Combine like terms: -3 + 27 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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