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Simplifying 501 = (x * 1.1) + (x * 1.1) + 5 + x Reorder the terms for easier multiplication: 501 = (1.1x) + (x * 1.1) + 5 + x Reorder the terms for easier multiplication: 501 = (1.1x) + (1.1x) + 5 + x Reorder the terms: 501 = 5 + (1.1x) + (1.1x) + x Combine like terms: (1.1x) + (1.1x) = 2.2x 501 = 5 + 2.2x + x Combine like terms: 2.2x + x = 3.2x 501 = 5 + 3.2x Solving 501 = 5 + 3.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.2x' to each side of the equation. 501 + -3.2x = 5 + 3.2x + -3.2x Combine like terms: 3.2x + -3.2x = 0.0 501 + -3.2x = 5 + 0.0 501 + -3.2x = 5 Add '-501' to each side of the equation. 501 + -501 + -3.2x = 5 + -501 Combine like terms: 501 + -501 = 0 0 + -3.2x = 5 + -501 -3.2x = 5 + -501 Combine like terms: 5 + -501 = -496 -3.2x = -496 Divide each side by '-3.2'. x = 155 Simplifying x = 155
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