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Simplifying 3(x + 2(5 + -1x)) = 4x + 1 3(x + (5 * 2 + -1x * 2)) = 4x + 1 3(x + (10 + -2x)) = 4x + 1 Reorder the terms: 3(10 + x + -2x) = 4x + 1 Combine like terms: x + -2x = -1x 3(10 + -1x) = 4x + 1 (10 * 3 + -1x * 3) = 4x + 1 (30 + -3x) = 4x + 1 Reorder the terms: 30 + -3x = 1 + 4x Solving 30 + -3x = 1 + 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. 30 + -3x + -4x = 1 + 4x + -4x Combine like terms: -3x + -4x = -7x 30 + -7x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + -7x = 1 + 0 30 + -7x = 1 Add '-30' to each side of the equation. 30 + -30 + -7x = 1 + -30 Combine like terms: 30 + -30 = 0 0 + -7x = 1 + -30 -7x = 1 + -30 Combine like terms: 1 + -30 = -29 -7x = -29 Divide each side by '-7'. x = 4.142857143 Simplifying x = 4.142857143
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