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Simplifying 1 + -1(5x + -3) = 4 + 2(1 + -3x) Reorder the terms: 1 + -1(-3 + 5x) = 4 + 2(1 + -3x) 1 + (-3 * -1 + 5x * -1) = 4 + 2(1 + -3x) 1 + (3 + -5x) = 4 + 2(1 + -3x) Combine like terms: 1 + 3 = 4 4 + -5x = 4 + 2(1 + -3x) 4 + -5x = 4 + (1 * 2 + -3x * 2) 4 + -5x = 4 + (2 + -6x) Combine like terms: 4 + 2 = 6 4 + -5x = 6 + -6x Solving 4 + -5x = 6 + -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. 4 + -5x + 6x = 6 + -6x + 6x Combine like terms: -5x + 6x = 1x 4 + 1x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 1x = 6 + 0 4 + 1x = 6 Add '-4' to each side of the equation. 4 + -4 + 1x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 6 + -4 1x = 6 + -4 Combine like terms: 6 + -4 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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