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Simplifying 3(2x + 10) + -2x + 10 = 2(x + 30) Reorder the terms: 3(10 + 2x) + -2x + 10 = 2(x + 30) (10 * 3 + 2x * 3) + -2x + 10 = 2(x + 30) (30 + 6x) + -2x + 10 = 2(x + 30) Reorder the terms: 30 + 10 + 6x + -2x = 2(x + 30) Combine like terms: 30 + 10 = 40 40 + 6x + -2x = 2(x + 30) Combine like terms: 6x + -2x = 4x 40 + 4x = 2(x + 30) Reorder the terms: 40 + 4x = 2(30 + x) 40 + 4x = (30 * 2 + x * 2) 40 + 4x = (60 + 2x) Solving 40 + 4x = 60 + 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. 40 + 4x + -2x = 60 + 2x + -2x Combine like terms: 4x + -2x = 2x 40 + 2x = 60 + 2x + -2x Combine like terms: 2x + -2x = 0 40 + 2x = 60 + 0 40 + 2x = 60 Add '-40' to each side of the equation. 40 + -40 + 2x = 60 + -40 Combine like terms: 40 + -40 = 0 0 + 2x = 60 + -40 2x = 60 + -40 Combine like terms: 60 + -40 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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