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Simplifying 2(2x + x) + 10 = 2(x + 10) + 18 + -8 Combine like terms: 2x + x = 3x 2(3x) + 10 = 2(x + 10) + 18 + -8 Remove parenthesis around (3x) 2 * 3x + 10 = 2(x + 10) + 18 + -8 Multiply 2 * 3 6x + 10 = 2(x + 10) + 18 + -8 Reorder the terms: 10 + 6x = 2(x + 10) + 18 + -8 Reorder the terms: 10 + 6x = 2(10 + x) + 18 + -8 10 + 6x = (10 * 2 + x * 2) + 18 + -8 10 + 6x = (20 + 2x) + 18 + -8 Reorder the terms: 10 + 6x = 20 + 18 + -8 + 2x Combine like terms: 20 + 18 = 38 10 + 6x = 38 + -8 + 2x Combine like terms: 38 + -8 = 30 10 + 6x = 30 + 2x Solving 10 + 6x = 30 + 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. 10 + 6x + -2x = 30 + 2x + -2x Combine like terms: 6x + -2x = 4x 10 + 4x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 4x = 30 + 0 10 + 4x = 30 Add '-10' to each side of the equation. 10 + -10 + 4x = 30 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 30 + -10 4x = 30 + -10 Combine like terms: 30 + -10 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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