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Simplifying 32 = 7x + -2(7x + 5) Reorder the terms: 32 = 7x + -2(5 + 7x) 32 = 7x + (5 * -2 + 7x * -2) 32 = 7x + (-10 + -14x) Reorder the terms: 32 = -10 + 7x + -14x Combine like terms: 7x + -14x = -7x 32 = -10 + -7x Solving 32 = -10 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 32 + 7x = -10 + -7x + 7x Combine like terms: -7x + 7x = 0 32 + 7x = -10 + 0 32 + 7x = -10 Add '-32' to each side of the equation. 32 + -32 + 7x = -10 + -32 Combine like terms: 32 + -32 = 0 0 + 7x = -10 + -32 7x = -10 + -32 Combine like terms: -10 + -32 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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