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Simplifying 3(4x + -1) + 10 = 5x + 1 Reorder the terms: 3(-1 + 4x) + 10 = 5x + 1 (-1 * 3 + 4x * 3) + 10 = 5x + 1 (-3 + 12x) + 10 = 5x + 1 Reorder the terms: -3 + 10 + 12x = 5x + 1 Combine like terms: -3 + 10 = 7 7 + 12x = 5x + 1 Reorder the terms: 7 + 12x = 1 + 5x Solving 7 + 12x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + 12x + -5x = 1 + 5x + -5x Combine like terms: 12x + -5x = 7x 7 + 7x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 7x = 1 + 0 7 + 7x = 1 Add '-7' to each side of the equation. 7 + -7 + 7x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 1 + -7 7x = 1 + -7 Combine like terms: 1 + -7 = -6 7x = -6 Divide each side by '7'. x = -0.8571428571 Simplifying x = -0.8571428571
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