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Simplifying 8(x + 1) = 6 + -2(8x + 7) Reorder the terms: 8(1 + x) = 6 + -2(8x + 7) (1 * 8 + x * 8) = 6 + -2(8x + 7) (8 + 8x) = 6 + -2(8x + 7) Reorder the terms: 8 + 8x = 6 + -2(7 + 8x) 8 + 8x = 6 + (7 * -2 + 8x * -2) 8 + 8x = 6 + (-14 + -16x) Combine like terms: 6 + -14 = -8 8 + 8x = -8 + -16x Solving 8 + 8x = -8 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 8 + 8x + 16x = -8 + -16x + 16x Combine like terms: 8x + 16x = 24x 8 + 24x = -8 + -16x + 16x Combine like terms: -16x + 16x = 0 8 + 24x = -8 + 0 8 + 24x = -8 Add '-8' to each side of the equation. 8 + -8 + 24x = -8 + -8 Combine like terms: 8 + -8 = 0 0 + 24x = -8 + -8 24x = -8 + -8 Combine like terms: -8 + -8 = -16 24x = -16 Divide each side by '24'. x = -0.6666666667 Simplifying x = -0.6666666667
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