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Simplifying 6 + -1(3x + -2) = 14 + -4(1 + -1x) Reorder the terms: 6 + -1(-2 + 3x) = 14 + -4(1 + -1x) 6 + (-2 * -1 + 3x * -1) = 14 + -4(1 + -1x) 6 + (2 + -3x) = 14 + -4(1 + -1x) Combine like terms: 6 + 2 = 8 8 + -3x = 14 + -4(1 + -1x) 8 + -3x = 14 + (1 * -4 + -1x * -4) 8 + -3x = 14 + (-4 + 4x) Combine like terms: 14 + -4 = 10 8 + -3x = 10 + 4x Solving 8 + -3x = 10 + 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. 8 + -3x + -4x = 10 + 4x + -4x Combine like terms: -3x + -4x = -7x 8 + -7x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -7x = 10 + 0 8 + -7x = 10 Add '-8' to each side of the equation. 8 + -8 + -7x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 10 + -8 -7x = 10 + -8 Combine like terms: 10 + -8 = 2 -7x = 2 Divide each side by '-7'. x = -0.2857142857 Simplifying x = -0.2857142857
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