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Simplifying 7(1 + 2x) = 3(2x + 3) + 44 (1 * 7 + 2x * 7) = 3(2x + 3) + 44 (7 + 14x) = 3(2x + 3) + 44 Reorder the terms: 7 + 14x = 3(3 + 2x) + 44 7 + 14x = (3 * 3 + 2x * 3) + 44 7 + 14x = (9 + 6x) + 44 Reorder the terms: 7 + 14x = 9 + 44 + 6x Combine like terms: 9 + 44 = 53 7 + 14x = 53 + 6x Solving 7 + 14x = 53 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + 14x + -6x = 53 + 6x + -6x Combine like terms: 14x + -6x = 8x 7 + 8x = 53 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + 8x = 53 + 0 7 + 8x = 53 Add '-7' to each side of the equation. 7 + -7 + 8x = 53 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 53 + -7 8x = 53 + -7 Combine like terms: 53 + -7 = 46 8x = 46 Divide each side by '8'. x = 5.75 Simplifying x = 5.75
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