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Simplifying -22 + -6x = -7(1 + 3x) -22 + -6x = (1 * -7 + 3x * -7) -22 + -6x = (-7 + -21x) Solving -22 + -6x = -7 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -22 + -6x + 21x = -7 + -21x + 21x Combine like terms: -6x + 21x = 15x -22 + 15x = -7 + -21x + 21x Combine like terms: -21x + 21x = 0 -22 + 15x = -7 + 0 -22 + 15x = -7 Add '22' to each side of the equation. -22 + 22 + 15x = -7 + 22 Combine like terms: -22 + 22 = 0 0 + 15x = -7 + 22 15x = -7 + 22 Combine like terms: -7 + 22 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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