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Simplifying 32 + -2x = -2(8 + -7x) 32 + -2x = (8 * -2 + -7x * -2) 32 + -2x = (-16 + 14x) Solving 32 + -2x = -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. 32 + -2x + -14x = -16 + 14x + -14x Combine like terms: -2x + -14x = -16x 32 + -16x = -16 + 14x + -14x Combine like terms: 14x + -14x = 0 32 + -16x = -16 + 0 32 + -16x = -16 Add '-32' to each side of the equation. 32 + -32 + -16x = -16 + -32 Combine like terms: 32 + -32 = 0 0 + -16x = -16 + -32 -16x = -16 + -32 Combine like terms: -16 + -32 = -48 -16x = -48 Divide each side by '-16'. x = 3 Simplifying x = 3
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