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Simplifying 8(x + -1) = 2(x + 16) Reorder the terms: 8(-1 + x) = 2(x + 16) (-1 * 8 + x * 8) = 2(x + 16) (-8 + 8x) = 2(x + 16) Reorder the terms: -8 + 8x = 2(16 + x) -8 + 8x = (16 * 2 + x * 2) -8 + 8x = (32 + 2x) Solving -8 + 8x = 32 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + 8x + -2x = 32 + 2x + -2x Combine like terms: 8x + -2x = 6x -8 + 6x = 32 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 6x = 32 + 0 -8 + 6x = 32 Add '8' to each side of the equation. -8 + 8 + 6x = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 32 + 8 6x = 32 + 8 Combine like terms: 32 + 8 = 40 6x = 40 Divide each side by '6'. x = 6.666666667 Simplifying x = 6.666666667
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