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Simplifying 7 + 22x = 5(4x + -3) Reorder the terms: 7 + 22x = 5(-3 + 4x) 7 + 22x = (-3 * 5 + 4x * 5) 7 + 22x = (-15 + 20x) Solving 7 + 22x = -15 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 7 + 22x + -20x = -15 + 20x + -20x Combine like terms: 22x + -20x = 2x 7 + 2x = -15 + 20x + -20x Combine like terms: 20x + -20x = 0 7 + 2x = -15 + 0 7 + 2x = -15 Add '-7' to each side of the equation. 7 + -7 + 2x = -15 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = -15 + -7 2x = -15 + -7 Combine like terms: -15 + -7 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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