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Simplifying 3x + -7(-2x + 10) = 32 Reorder the terms: 3x + -7(10 + -2x) = 32 3x + (10 * -7 + -2x * -7) = 32 3x + (-70 + 14x) = 32 Reorder the terms: -70 + 3x + 14x = 32 Combine like terms: 3x + 14x = 17x -70 + 17x = 32 Solving -70 + 17x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + 17x = 32 + 70 Combine like terms: -70 + 70 = 0 0 + 17x = 32 + 70 17x = 32 + 70 Combine like terms: 32 + 70 = 102 17x = 102 Divide each side by '17'. x = 6 Simplifying x = 6
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