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Simplifying 38 + -5(1 + -1x) = 13 + -2(3 + 2x) + -4x 38 + (1 * -5 + -1x * -5) = 13 + -2(3 + 2x) + -4x 38 + (-5 + 5x) = 13 + -2(3 + 2x) + -4x Combine like terms: 38 + -5 = 33 33 + 5x = 13 + -2(3 + 2x) + -4x 33 + 5x = 13 + (3 * -2 + 2x * -2) + -4x 33 + 5x = 13 + (-6 + -4x) + -4x Combine like terms: 13 + -6 = 7 33 + 5x = 7 + -4x + -4x Combine like terms: -4x + -4x = -8x 33 + 5x = 7 + -8x Solving 33 + 5x = 7 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 33 + 5x + 8x = 7 + -8x + 8x Combine like terms: 5x + 8x = 13x 33 + 13x = 7 + -8x + 8x Combine like terms: -8x + 8x = 0 33 + 13x = 7 + 0 33 + 13x = 7 Add '-33' to each side of the equation. 33 + -33 + 13x = 7 + -33 Combine like terms: 33 + -33 = 0 0 + 13x = 7 + -33 13x = 7 + -33 Combine like terms: 7 + -33 = -26 13x = -26 Divide each side by '13'. x = -2 Simplifying x = -2
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