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Simplifying 3 + -1(6x + -22) = 7(x + -3) Reorder the terms: 3 + -1(-22 + 6x) = 7(x + -3) 3 + (-22 * -1 + 6x * -1) = 7(x + -3) 3 + (22 + -6x) = 7(x + -3) Combine like terms: 3 + 22 = 25 25 + -6x = 7(x + -3) Reorder the terms: 25 + -6x = 7(-3 + x) 25 + -6x = (-3 * 7 + x * 7) 25 + -6x = (-21 + 7x) Solving 25 + -6x = -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. 25 + -6x + -7x = -21 + 7x + -7x Combine like terms: -6x + -7x = -13x 25 + -13x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 25 + -13x = -21 + 0 25 + -13x = -21 Add '-25' to each side of the equation. 25 + -25 + -13x = -21 + -25 Combine like terms: 25 + -25 = 0 0 + -13x = -21 + -25 -13x = -21 + -25 Combine like terms: -21 + -25 = -46 -13x = -46 Divide each side by '-13'. x = 3.538461538 Simplifying x = 3.538461538
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