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Simplifying 2(2x + x) + 2(10 + 5) = x + x + 20 + 15(1 + 1) Combine like terms: 2x + x = 3x 2(3x) + 2(10 + 5) = x + x + 20 + 15(1 + 1) Remove parenthesis around (3x) 2 * 3x + 2(10 + 5) = x + x + 20 + 15(1 + 1) Multiply 2 * 3 6x + 2(10 + 5) = x + x + 20 + 15(1 + 1) Combine like terms: 10 + 5 = 15 6x + 2(15) = x + x + 20 + 15(1 + 1) Multiply 2 * 15 6x + 30 = x + x + 20 + 15(1 + 1) Reorder the terms: 30 + 6x = x + x + 20 + 15(1 + 1) Combine like terms: 1 + 1 = 2 30 + 6x = x + x + 20 + 15(2) Multiply 15 * 2 30 + 6x = x + x + 20 + 30 Reorder the terms: 30 + 6x = 20 + 30 + x + x Combine like terms: 20 + 30 = 50 30 + 6x = 50 + x + x Combine like terms: x + x = 2x 30 + 6x = 50 + 2x Solving 30 + 6x = 50 + 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. 30 + 6x + -2x = 50 + 2x + -2x Combine like terms: 6x + -2x = 4x 30 + 4x = 50 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + 4x = 50 + 0 30 + 4x = 50 Add '-30' to each side of the equation. 30 + -30 + 4x = 50 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 50 + -30 4x = 50 + -30 Combine like terms: 50 + -30 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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