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Simplifying 3(2x + 8) = -16x + 2 Reorder the terms: 3(8 + 2x) = -16x + 2 (8 * 3 + 2x * 3) = -16x + 2 (24 + 6x) = -16x + 2 Reorder the terms: 24 + 6x = 2 + -16x Solving 24 + 6x = 2 + -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. 24 + 6x + 16x = 2 + -16x + 16x Combine like terms: 6x + 16x = 22x 24 + 22x = 2 + -16x + 16x Combine like terms: -16x + 16x = 0 24 + 22x = 2 + 0 24 + 22x = 2 Add '-24' to each side of the equation. 24 + -24 + 22x = 2 + -24 Combine like terms: 24 + -24 = 0 0 + 22x = 2 + -24 22x = 2 + -24 Combine like terms: 2 + -24 = -22 22x = -22 Divide each side by '22'. x = -1 Simplifying x = -1
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