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Simplifying 22 + -4x = 7(-3x + 8) Reorder the terms: 22 + -4x = 7(8 + -3x) 22 + -4x = (8 * 7 + -3x * 7) 22 + -4x = (56 + -21x) Solving 22 + -4x = 56 + -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 + -4x + 21x = 56 + -21x + 21x Combine like terms: -4x + 21x = 17x 22 + 17x = 56 + -21x + 21x Combine like terms: -21x + 21x = 0 22 + 17x = 56 + 0 22 + 17x = 56 Add '-22' to each side of the equation. 22 + -22 + 17x = 56 + -22 Combine like terms: 22 + -22 = 0 0 + 17x = 56 + -22 17x = 56 + -22 Combine like terms: 56 + -22 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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