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Simplifying 6 + -2(3x + -1) = 5 + 3(2x + 4) Reorder the terms: 6 + -2(-1 + 3x) = 5 + 3(2x + 4) 6 + (-1 * -2 + 3x * -2) = 5 + 3(2x + 4) 6 + (2 + -6x) = 5 + 3(2x + 4) Combine like terms: 6 + 2 = 8 8 + -6x = 5 + 3(2x + 4) Reorder the terms: 8 + -6x = 5 + 3(4 + 2x) 8 + -6x = 5 + (4 * 3 + 2x * 3) 8 + -6x = 5 + (12 + 6x) Combine like terms: 5 + 12 = 17 8 + -6x = 17 + 6x Solving 8 + -6x = 17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + -6x + -6x = 17 + 6x + -6x Combine like terms: -6x + -6x = -12x 8 + -12x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -12x = 17 + 0 8 + -12x = 17 Add '-8' to each side of the equation. 8 + -8 + -12x = 17 + -8 Combine like terms: 8 + -8 = 0 0 + -12x = 17 + -8 -12x = 17 + -8 Combine like terms: 17 + -8 = 9 -12x = 9 Divide each side by '-12'. x = -0.75 Simplifying x = -0.75
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