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Simplifying 3 + -5(-7 + x) = -32 + 5x 3 + (-7 * -5 + x * -5) = -32 + 5x 3 + (35 + -5x) = -32 + 5x Combine like terms: 3 + 35 = 38 38 + -5x = -32 + 5x Solving 38 + -5x = -32 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 38 + -5x + -5x = -32 + 5x + -5x Combine like terms: -5x + -5x = -10x 38 + -10x = -32 + 5x + -5x Combine like terms: 5x + -5x = 0 38 + -10x = -32 + 0 38 + -10x = -32 Add '-38' to each side of the equation. 38 + -38 + -10x = -32 + -38 Combine like terms: 38 + -38 = 0 0 + -10x = -32 + -38 -10x = -32 + -38 Combine like terms: -32 + -38 = -70 -10x = -70 Divide each side by '-10'. x = 7 Simplifying x = 7
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