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Simplifying 3 + -1(5x + -17) = 6(x + -3) Reorder the terms: 3 + -1(-17 + 5x) = 6(x + -3) 3 + (-17 * -1 + 5x * -1) = 6(x + -3) 3 + (17 + -5x) = 6(x + -3) Combine like terms: 3 + 17 = 20 20 + -5x = 6(x + -3) Reorder the terms: 20 + -5x = 6(-3 + x) 20 + -5x = (-3 * 6 + x * 6) 20 + -5x = (-18 + 6x) Solving 20 + -5x = -18 + 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. 20 + -5x + -6x = -18 + 6x + -6x Combine like terms: -5x + -6x = -11x 20 + -11x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + -11x = -18 + 0 20 + -11x = -18 Add '-20' to each side of the equation. 20 + -20 + -11x = -18 + -20 Combine like terms: 20 + -20 = 0 0 + -11x = -18 + -20 -11x = -18 + -20 Combine like terms: -18 + -20 = -38 -11x = -38 Divide each side by '-11'. x = 3.454545455 Simplifying x = 3.454545455
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