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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 Add '8' to each side of the equation. -8 + 8 + 8x = -8 + 8 + -16x Combine like terms: -8 + 8 = 0 0 + 8x = -8 + 8 + -16x 8x = -8 + 8 + -16x Combine like terms: -8 + 8 = 0 8x = 0 + -16x 8x = -16x Solving 8x = -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. 8x + 16x = -16x + 16x Combine like terms: 8x + 16x = 24x 24x = -16x + 16x Combine like terms: -16x + 16x = 0 24x = 0 Divide each side by '24'. x = 0 Simplifying x = 0
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