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Simplifying 3(4x + 5) = 22 + -4x Reorder the terms: 3(5 + 4x) = 22 + -4x (5 * 3 + 4x * 3) = 22 + -4x (15 + 12x) = 22 + -4x Solving 15 + 12x = 22 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 15 + 12x + 4x = 22 + -4x + 4x Combine like terms: 12x + 4x = 16x 15 + 16x = 22 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + 16x = 22 + 0 15 + 16x = 22 Add '-15' to each side of the equation. 15 + -15 + 16x = 22 + -15 Combine like terms: 15 + -15 = 0 0 + 16x = 22 + -15 16x = 22 + -15 Combine like terms: 22 + -15 = 7 16x = 7 Divide each side by '16'. x = 0.4375 Simplifying x = 0.4375
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