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Simplifying 3(5x + 22) = 4(x + 22) Reorder the terms: 3(22 + 5x) = 4(x + 22) (22 * 3 + 5x * 3) = 4(x + 22) (66 + 15x) = 4(x + 22) Reorder the terms: 66 + 15x = 4(22 + x) 66 + 15x = (22 * 4 + x * 4) 66 + 15x = (88 + 4x) Solving 66 + 15x = 88 + 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. 66 + 15x + -4x = 88 + 4x + -4x Combine like terms: 15x + -4x = 11x 66 + 11x = 88 + 4x + -4x Combine like terms: 4x + -4x = 0 66 + 11x = 88 + 0 66 + 11x = 88 Add '-66' to each side of the equation. 66 + -66 + 11x = 88 + -66 Combine like terms: 66 + -66 = 0 0 + 11x = 88 + -66 11x = 88 + -66 Combine like terms: 88 + -66 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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