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Simplifying 8(x + 1) + -2 = 3x + -4(2 + -2x) Reorder the terms: 8(1 + x) + -2 = 3x + -4(2 + -2x) (1 * 8 + x * 8) + -2 = 3x + -4(2 + -2x) (8 + 8x) + -2 = 3x + -4(2 + -2x) Reorder the terms: 8 + -2 + 8x = 3x + -4(2 + -2x) Combine like terms: 8 + -2 = 6 6 + 8x = 3x + -4(2 + -2x) 6 + 8x = 3x + (2 * -4 + -2x * -4) 6 + 8x = 3x + (-8 + 8x) Reorder the terms: 6 + 8x = -8 + 3x + 8x Combine like terms: 3x + 8x = 11x 6 + 8x = -8 + 11x Solving 6 + 8x = -8 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 6 + 8x + -11x = -8 + 11x + -11x Combine like terms: 8x + -11x = -3x 6 + -3x = -8 + 11x + -11x Combine like terms: 11x + -11x = 0 6 + -3x = -8 + 0 6 + -3x = -8 Add '-6' to each side of the equation. 6 + -6 + -3x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -8 + -6 -3x = -8 + -6 Combine like terms: -8 + -6 = -14 -3x = -14 Divide each side by '-3'. x = 4.666666667 Simplifying x = 4.666666667
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