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Simplifying 22 + -6x = 7(4x + -8) Reorder the terms: 22 + -6x = 7(-8 + 4x) 22 + -6x = (-8 * 7 + 4x * 7) 22 + -6x = (-56 + 28x) Solving 22 + -6x = -56 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 22 + -6x + -28x = -56 + 28x + -28x Combine like terms: -6x + -28x = -34x 22 + -34x = -56 + 28x + -28x Combine like terms: 28x + -28x = 0 22 + -34x = -56 + 0 22 + -34x = -56 Add '-22' to each side of the equation. 22 + -22 + -34x = -56 + -22 Combine like terms: 22 + -22 = 0 0 + -34x = -56 + -22 -34x = -56 + -22 Combine like terms: -56 + -22 = -78 -34x = -78 Divide each side by '-34'. x = 2.294117647 Simplifying x = 2.294117647
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