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Simplifying -8(2x + 1) = 8(x + 8) Reorder the terms: -8(1 + 2x) = 8(x + 8) (1 * -8 + 2x * -8) = 8(x + 8) (-8 + -16x) = 8(x + 8) Reorder the terms: -8 + -16x = 8(8 + x) -8 + -16x = (8 * 8 + x * 8) -8 + -16x = (64 + 8x) Solving -8 + -16x = 64 + 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 = 64 + 8x + -8x Combine like terms: -16x + -8x = -24x -8 + -24x = 64 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -24x = 64 + 0 -8 + -24x = 64 Add '8' to each side of the equation. -8 + 8 + -24x = 64 + 8 Combine like terms: -8 + 8 = 0 0 + -24x = 64 + 8 -24x = 64 + 8 Combine like terms: 64 + 8 = 72 -24x = 72 Divide each side by '-24'. x = -3 Simplifying x = -3
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