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Simplifying 96 + 2x = 2(80 + -3x) 96 + 2x = (80 * 2 + -3x * 2) 96 + 2x = (160 + -6x) Solving 96 + 2x = 160 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 96 + 2x + 6x = 160 + -6x + 6x Combine like terms: 2x + 6x = 8x 96 + 8x = 160 + -6x + 6x Combine like terms: -6x + 6x = 0 96 + 8x = 160 + 0 96 + 8x = 160 Add '-96' to each side of the equation. 96 + -96 + 8x = 160 + -96 Combine like terms: 96 + -96 = 0 0 + 8x = 160 + -96 8x = 160 + -96 Combine like terms: 160 + -96 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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