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Simplifying 41 + -1(3x + 12) = 3(x + 5) + x Reorder the terms: 41 + -1(12 + 3x) = 3(x + 5) + x 41 + (12 * -1 + 3x * -1) = 3(x + 5) + x 41 + (-12 + -3x) = 3(x + 5) + x Combine like terms: 41 + -12 = 29 29 + -3x = 3(x + 5) + x Reorder the terms: 29 + -3x = 3(5 + x) + x 29 + -3x = (5 * 3 + x * 3) + x 29 + -3x = (15 + 3x) + x Combine like terms: 3x + x = 4x 29 + -3x = 15 + 4x Solving 29 + -3x = 15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 29 + -3x + -4x = 15 + 4x + -4x Combine like terms: -3x + -4x = -7x 29 + -7x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 29 + -7x = 15 + 0 29 + -7x = 15 Add '-29' to each side of the equation. 29 + -29 + -7x = 15 + -29 Combine like terms: 29 + -29 = 0 0 + -7x = 15 + -29 -7x = 15 + -29 Combine like terms: 15 + -29 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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