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Simplifying 2x + 8(3 + -1x) = 2x + 2(8 + -8x) 2x + (3 * 8 + -1x * 8) = 2x + 2(8 + -8x) 2x + (24 + -8x) = 2x + 2(8 + -8x) Reorder the terms: 24 + 2x + -8x = 2x + 2(8 + -8x) Combine like terms: 2x + -8x = -6x 24 + -6x = 2x + 2(8 + -8x) 24 + -6x = 2x + (8 * 2 + -8x * 2) 24 + -6x = 2x + (16 + -16x) Reorder the terms: 24 + -6x = 16 + 2x + -16x Combine like terms: 2x + -16x = -14x 24 + -6x = 16 + -14x Solving 24 + -6x = 16 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 24 + -6x + 14x = 16 + -14x + 14x Combine like terms: -6x + 14x = 8x 24 + 8x = 16 + -14x + 14x Combine like terms: -14x + 14x = 0 24 + 8x = 16 + 0 24 + 8x = 16 Add '-24' to each side of the equation. 24 + -24 + 8x = 16 + -24 Combine like terms: 24 + -24 = 0 0 + 8x = 16 + -24 8x = 16 + -24 Combine like terms: 16 + -24 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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