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Simplifying -8x + 14 = 22(4x + -7) Reorder the terms: 14 + -8x = 22(4x + -7) Reorder the terms: 14 + -8x = 22(-7 + 4x) 14 + -8x = (-7 * 22 + 4x * 22) 14 + -8x = (-154 + 88x) Solving 14 + -8x = -154 + 88x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-88x' to each side of the equation. 14 + -8x + -88x = -154 + 88x + -88x Combine like terms: -8x + -88x = -96x 14 + -96x = -154 + 88x + -88x Combine like terms: 88x + -88x = 0 14 + -96x = -154 + 0 14 + -96x = -154 Add '-14' to each side of the equation. 14 + -14 + -96x = -154 + -14 Combine like terms: 14 + -14 = 0 0 + -96x = -154 + -14 -96x = -154 + -14 Combine like terms: -154 + -14 = -168 -96x = -168 Divide each side by '-96'. x = 1.75 Simplifying x = 1.75
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