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Simplifying 2(7 + -8x) = 32 + -10x (7 * 2 + -8x * 2) = 32 + -10x (14 + -16x) = 32 + -10x Solving 14 + -16x = 32 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 14 + -16x + 10x = 32 + -10x + 10x Combine like terms: -16x + 10x = -6x 14 + -6x = 32 + -10x + 10x Combine like terms: -10x + 10x = 0 14 + -6x = 32 + 0 14 + -6x = 32 Add '-14' to each side of the equation. 14 + -14 + -6x = 32 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = 32 + -14 -6x = 32 + -14 Combine like terms: 32 + -14 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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