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Simplifying 5(3 + 7) = 20 + -2(x + 1) Combine like terms: 3 + 7 = 10 5(10) = 20 + -2(x + 1) Multiply 5 * 10 50 = 20 + -2(x + 1) Reorder the terms: 50 = 20 + -2(1 + x) 50 = 20 + (1 * -2 + x * -2) 50 = 20 + (-2 + -2x) Combine like terms: 20 + -2 = 18 50 = 18 + -2x Solving 50 = 18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 50 + 2x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 50 + 2x = 18 + 0 50 + 2x = 18 Add '-50' to each side of the equation. 50 + -50 + 2x = 18 + -50 Combine like terms: 50 + -50 = 0 0 + 2x = 18 + -50 2x = 18 + -50 Combine like terms: 18 + -50 = -32 2x = -32 Divide each side by '2'. x = -16 Simplifying x = -16
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