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Simplifying 3 + -1(5x + -19) = 7(x + -3) Reorder the terms: 3 + -1(-19 + 5x) = 7(x + -3) 3 + (-19 * -1 + 5x * -1) = 7(x + -3) 3 + (19 + -5x) = 7(x + -3) Combine like terms: 3 + 19 = 22 22 + -5x = 7(x + -3) Reorder the terms: 22 + -5x = 7(-3 + x) 22 + -5x = (-3 * 7 + x * 7) 22 + -5x = (-21 + 7x) Solving 22 + -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. 22 + -5x + -7x = -21 + 7x + -7x Combine like terms: -5x + -7x = -12x 22 + -12x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 22 + -12x = -21 + 0 22 + -12x = -21 Add '-22' to each side of the equation. 22 + -22 + -12x = -21 + -22 Combine like terms: 22 + -22 = 0 0 + -12x = -21 + -22 -12x = -21 + -22 Combine like terms: -21 + -22 = -43 -12x = -43 Divide each side by '-12'. x = 3.583333333 Simplifying x = 3.583333333
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