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Simplifying 8(x + 3) = 6 + -2(2x + -1) Reorder the terms: 8(3 + x) = 6 + -2(2x + -1) (3 * 8 + x * 8) = 6 + -2(2x + -1) (24 + 8x) = 6 + -2(2x + -1) Reorder the terms: 24 + 8x = 6 + -2(-1 + 2x) 24 + 8x = 6 + (-1 * -2 + 2x * -2) 24 + 8x = 6 + (2 + -4x) Combine like terms: 6 + 2 = 8 24 + 8x = 8 + -4x Solving 24 + 8x = 8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 24 + 8x + 4x = 8 + -4x + 4x Combine like terms: 8x + 4x = 12x 24 + 12x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 24 + 12x = 8 + 0 24 + 12x = 8 Add '-24' to each side of the equation. 24 + -24 + 12x = 8 + -24 Combine like terms: 24 + -24 = 0 0 + 12x = 8 + -24 12x = 8 + -24 Combine like terms: 8 + -24 = -16 12x = -16 Divide each side by '12'. x = -1.333333333 Simplifying x = -1.333333333
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