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Simplifying 3x + 2 + -1(4x + -1(1 + 9)) = 6x + 1 Combine like terms: 1 + 9 = 10 3x + 2 + -1(4x + -1(10)) = 6x + 1 Multiply -1 * 10 3x + 2 + -1(4x + -10) = 6x + 1 Reorder the terms: 3x + 2 + -1(-10 + 4x) = 6x + 1 3x + 2 + (-10 * -1 + 4x * -1) = 6x + 1 3x + 2 + (10 + -4x) = 6x + 1 Reorder the terms: 2 + 10 + 3x + -4x = 6x + 1 Combine like terms: 2 + 10 = 12 12 + 3x + -4x = 6x + 1 Combine like terms: 3x + -4x = -1x 12 + -1x = 6x + 1 Reorder the terms: 12 + -1x = 1 + 6x Solving 12 + -1x = 1 + 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 + -1x + -6x = 1 + 6x + -6x Combine like terms: -1x + -6x = -7x 12 + -7x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -7x = 1 + 0 12 + -7x = 1 Add '-12' to each side of the equation. 12 + -12 + -7x = 1 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = 1 + -12 -7x = 1 + -12 Combine like terms: 1 + -12 = -11 -7x = -11 Divide each side by '-7'. x = 1.571428571 Simplifying x = 1.571428571
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