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Simplifying 6 + -2(8x + 7) = 8(x + 1) Reorder the terms: 6 + -2(7 + 8x) = 8(x + 1) 6 + (7 * -2 + 8x * -2) = 8(x + 1) 6 + (-14 + -16x) = 8(x + 1) Combine like terms: 6 + -14 = -8 -8 + -16x = 8(x + 1) Reorder the terms: -8 + -16x = 8(1 + x) -8 + -16x = (1 * 8 + x * 8) -8 + -16x = (8 + 8x) Solving -8 + -16x = 8 + 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. -8 + -16x + -8x = 8 + 8x + -8x Combine like terms: -16x + -8x = -24x -8 + -24x = 8 + 8x + -8x Combine like terms: 8x + -8x = 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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