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Simplifying 3 + -2(x + -8) = 6 + 2(3 + -4x) Reorder the terms: 3 + -2(-8 + x) = 6 + 2(3 + -4x) 3 + (-8 * -2 + x * -2) = 6 + 2(3 + -4x) 3 + (16 + -2x) = 6 + 2(3 + -4x) Combine like terms: 3 + 16 = 19 19 + -2x = 6 + 2(3 + -4x) 19 + -2x = 6 + (3 * 2 + -4x * 2) 19 + -2x = 6 + (6 + -8x) Combine like terms: 6 + 6 = 12 19 + -2x = 12 + -8x Solving 19 + -2x = 12 + -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. 19 + -2x + 8x = 12 + -8x + 8x Combine like terms: -2x + 8x = 6x 19 + 6x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 19 + 6x = 12 + 0 19 + 6x = 12 Add '-19' to each side of the equation. 19 + -19 + 6x = 12 + -19 Combine like terms: 19 + -19 = 0 0 + 6x = 12 + -19 6x = 12 + -19 Combine like terms: 12 + -19 = -7 6x = -7 Divide each side by '6'. x = -1.166666667 Simplifying x = -1.166666667
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