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Simplifying 3(5x + 44) = 4(x + 22) Reorder the terms: 3(44 + 5x) = 4(x + 22) (44 * 3 + 5x * 3) = 4(x + 22) (132 + 15x) = 4(x + 22) Reorder the terms: 132 + 15x = 4(22 + x) 132 + 15x = (22 * 4 + x * 4) 132 + 15x = (88 + 4x) Solving 132 + 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. 132 + 15x + -4x = 88 + 4x + -4x Combine like terms: 15x + -4x = 11x 132 + 11x = 88 + 4x + -4x Combine like terms: 4x + -4x = 0 132 + 11x = 88 + 0 132 + 11x = 88 Add '-132' to each side of the equation. 132 + -132 + 11x = 88 + -132 Combine like terms: 132 + -132 = 0 0 + 11x = 88 + -132 11x = 88 + -132 Combine like terms: 88 + -132 = -44 11x = -44 Divide each side by '11'. x = -4 Simplifying x = -4
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