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Simplifying 3 + -1(5x + -17) = 7(x + -3) Reorder the terms: 3 + -1(-17 + 5x) = 7(x + -3) 3 + (-17 * -1 + 5x * -1) = 7(x + -3) 3 + (17 + -5x) = 7(x + -3) Combine like terms: 3 + 17 = 20 20 + -5x = 7(x + -3) Reorder the terms: 20 + -5x = 7(-3 + x) 20 + -5x = (-3 * 7 + x * 7) 20 + -5x = (-21 + 7x) Solving 20 + -5x = -21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 20 + -5x + -7x = -21 + 7x + -7x Combine like terms: -5x + -7x = -12x 20 + -12x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + -12x = -21 + 0 20 + -12x = -21 Add '-20' to each side of the equation. 20 + -20 + -12x = -21 + -20 Combine like terms: 20 + -20 = 0 0 + -12x = -21 + -20 -12x = -21 + -20 Combine like terms: -21 + -20 = -41 -12x = -41 Divide each side by '-12'. x = 3.416666667 Simplifying x = 3.416666667
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