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Simplifying 3(2 + -1x) + -1x = 6x + 2(x + 33) (2 * 3 + -1x * 3) + -1x = 6x + 2(x + 33) (6 + -3x) + -1x = 6x + 2(x + 33) Combine like terms: -3x + -1x = -4x 6 + -4x = 6x + 2(x + 33) Reorder the terms: 6 + -4x = 6x + 2(33 + x) 6 + -4x = 6x + (33 * 2 + x * 2) 6 + -4x = 6x + (66 + 2x) Reorder the terms: 6 + -4x = 66 + 6x + 2x Combine like terms: 6x + 2x = 8x 6 + -4x = 66 + 8x Solving 6 + -4x = 66 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + -4x + -8x = 66 + 8x + -8x Combine like terms: -4x + -8x = -12x 6 + -12x = 66 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -12x = 66 + 0 6 + -12x = 66 Add '-6' to each side of the equation. 6 + -6 + -12x = 66 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = 66 + -6 -12x = 66 + -6 Combine like terms: 66 + -6 = 60 -12x = 60 Divide each side by '-12'. x = -5 Simplifying x = -5
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