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Simplifying 3 + 5x = 22(x + 6) Reorder the terms: 3 + 5x = 22(6 + x) 3 + 5x = (6 * 22 + x * 22) 3 + 5x = (132 + 22x) Solving 3 + 5x = 132 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 3 + 5x + -22x = 132 + 22x + -22x Combine like terms: 5x + -22x = -17x 3 + -17x = 132 + 22x + -22x Combine like terms: 22x + -22x = 0 3 + -17x = 132 + 0 3 + -17x = 132 Add '-3' to each side of the equation. 3 + -3 + -17x = 132 + -3 Combine like terms: 3 + -3 = 0 0 + -17x = 132 + -3 -17x = 132 + -3 Combine like terms: 132 + -3 = 129 -17x = 129 Divide each side by '-17'. x = -7.588235294 Simplifying x = -7.588235294
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