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Simplifying 4[x + 2(5 + -1x)] = 3x + 1 4[x + (5 * 2 + -1x * 2)] = 3x + 1 4[x + (10 + -2x)] = 3x + 1 Reorder the terms: 4[10 + x + -2x] = 3x + 1 Combine like terms: x + -2x = -1x 4[10 + -1x] = 3x + 1 [10 * 4 + -1x * 4] = 3x + 1 [40 + -4x] = 3x + 1 Reorder the terms: 40 + -4x = 1 + 3x Solving 40 + -4x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 40 + -4x + -3x = 1 + 3x + -3x Combine like terms: -4x + -3x = -7x 40 + -7x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 40 + -7x = 1 + 0 40 + -7x = 1 Add '-40' to each side of the equation. 40 + -40 + -7x = 1 + -40 Combine like terms: 40 + -40 = 0 0 + -7x = 1 + -40 -7x = 1 + -40 Combine like terms: 1 + -40 = -39 -7x = -39 Divide each side by '-7'. x = 5.571428571 Simplifying x = 5.571428571
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