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Simplifying 6x + -3(3x + -1) = 14 + -1(3 + -4x) Reorder the terms: 6x + -3(-1 + 3x) = 14 + -1(3 + -4x) 6x + (-1 * -3 + 3x * -3) = 14 + -1(3 + -4x) 6x + (3 + -9x) = 14 + -1(3 + -4x) Reorder the terms: 3 + 6x + -9x = 14 + -1(3 + -4x) Combine like terms: 6x + -9x = -3x 3 + -3x = 14 + -1(3 + -4x) 3 + -3x = 14 + (3 * -1 + -4x * -1) 3 + -3x = 14 + (-3 + 4x) Combine like terms: 14 + -3 = 11 3 + -3x = 11 + 4x Solving 3 + -3x = 11 + 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. 3 + -3x + -4x = 11 + 4x + -4x Combine like terms: -3x + -4x = -7x 3 + -7x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -7x = 11 + 0 3 + -7x = 11 Add '-3' to each side of the equation. 3 + -3 + -7x = 11 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 11 + -3 -7x = 11 + -3 Combine like terms: 11 + -3 = 8 -7x = 8 Divide each side by '-7'. x = -1.142857143 Simplifying x = -1.142857143
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