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Simplifying -22 = 3(2 + -7x) + 7(-7x + 6) -22 = (2 * 3 + -7x * 3) + 7(-7x + 6) -22 = (6 + -21x) + 7(-7x + 6) Reorder the terms: -22 = 6 + -21x + 7(6 + -7x) -22 = 6 + -21x + (6 * 7 + -7x * 7) -22 = 6 + -21x + (42 + -49x) Reorder the terms: -22 = 6 + 42 + -21x + -49x Combine like terms: 6 + 42 = 48 -22 = 48 + -21x + -49x Combine like terms: -21x + -49x = -70x -22 = 48 + -70x Solving -22 = 48 + -70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '70x' to each side of the equation. -22 + 70x = 48 + -70x + 70x Combine like terms: -70x + 70x = 0 -22 + 70x = 48 + 0 -22 + 70x = 48 Add '22' to each side of the equation. -22 + 22 + 70x = 48 + 22 Combine like terms: -22 + 22 = 0 0 + 70x = 48 + 22 70x = 48 + 22 Combine like terms: 48 + 22 = 70 70x = 70 Divide each side by '70'. x = 1 Simplifying x = 1
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