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Simplifying 2(x + 25) + 2(x) = 2(2x) + 2(x + 10) Reorder the terms: 2(25 + x) + 2(x) = 2(2x) + 2(x + 10) (25 * 2 + x * 2) + 2(x) = 2(2x) + 2(x + 10) (50 + 2x) + 2(x) = 2(2x) + 2(x + 10) Combine like terms: 2x + 2x = 4x 50 + 4x = 2(2x) + 2(x + 10) Remove parenthesis around (2x) 50 + 4x = 2 * 2x + 2(x + 10) Multiply 2 * 2 50 + 4x = 4x + 2(x + 10) Reorder the terms: 50 + 4x = 4x + 2(10 + x) 50 + 4x = 4x + (10 * 2 + x * 2) 50 + 4x = 4x + (20 + 2x) Reorder the terms: 50 + 4x = 20 + 4x + 2x Combine like terms: 4x + 2x = 6x 50 + 4x = 20 + 6x Solving 50 + 4x = 20 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 50 + 4x + -6x = 20 + 6x + -6x Combine like terms: 4x + -6x = -2x 50 + -2x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 50 + -2x = 20 + 0 50 + -2x = 20 Add '-50' to each side of the equation. 50 + -50 + -2x = 20 + -50 Combine like terms: 50 + -50 = 0 0 + -2x = 20 + -50 -2x = 20 + -50 Combine like terms: 20 + -50 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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