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Simplifying 4(x + 10x) + 12 = 2(3x + 10) + 44 Combine like terms: x + 10x = 11x 4(11x) + 12 = 2(3x + 10) + 44 Remove parenthesis around (11x) 4 * 11x + 12 = 2(3x + 10) + 44 Multiply 4 * 11 44x + 12 = 2(3x + 10) + 44 Reorder the terms: 12 + 44x = 2(3x + 10) + 44 Reorder the terms: 12 + 44x = 2(10 + 3x) + 44 12 + 44x = (10 * 2 + 3x * 2) + 44 12 + 44x = (20 + 6x) + 44 Reorder the terms: 12 + 44x = 20 + 44 + 6x Combine like terms: 20 + 44 = 64 12 + 44x = 64 + 6x Solving 12 + 44x = 64 + 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. 12 + 44x + -6x = 64 + 6x + -6x Combine like terms: 44x + -6x = 38x 12 + 38x = 64 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 38x = 64 + 0 12 + 38x = 64 Add '-12' to each side of the equation. 12 + -12 + 38x = 64 + -12 Combine like terms: 12 + -12 = 0 0 + 38x = 64 + -12 38x = 64 + -12 Combine like terms: 64 + -12 = 52 38x = 52 Divide each side by '38'. x = 1.368421053 Simplifying x = 1.368421053
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