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Simplifying 7(2x + 1) = 44.5 + -1x Reorder the terms: 7(1 + 2x) = 44.5 + -1x (1 * 7 + 2x * 7) = 44.5 + -1x (7 + 14x) = 44.5 + -1x Solving 7 + 14x = 44.5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7 + 14x + x = 44.5 + -1x + x Combine like terms: 14x + x = 15x 7 + 15x = 44.5 + -1x + x Combine like terms: -1x + x = 0 7 + 15x = 44.5 + 0 7 + 15x = 44.5 Add '-7' to each side of the equation. 7 + -7 + 15x = 44.5 + -7 Combine like terms: 7 + -7 = 0 0 + 15x = 44.5 + -7 15x = 44.5 + -7 Combine like terms: 44.5 + -7 = 37.5 15x = 37.5 Divide each side by '15'. x = 2.5 Simplifying x = 2.5
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