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Simplifying 6 + -1(2 + -3x) = 3 + -1(4 + 2x) 6 + (2 * -1 + -3x * -1) = 3 + -1(4 + 2x) 6 + (-2 + 3x) = 3 + -1(4 + 2x) Combine like terms: 6 + -2 = 4 4 + 3x = 3 + -1(4 + 2x) 4 + 3x = 3 + (4 * -1 + 2x * -1) 4 + 3x = 3 + (-4 + -2x) Combine like terms: 3 + -4 = -1 4 + 3x = -1 + -2x Solving 4 + 3x = -1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + 3x + 2x = -1 + -2x + 2x Combine like terms: 3x + 2x = 5x 4 + 5x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 5x = -1 + 0 4 + 5x = -1 Add '-4' to each side of the equation. 4 + -4 + 5x = -1 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = -1 + -4 5x = -1 + -4 Combine like terms: -1 + -4 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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