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Simplifying 2.5(7x + 3) + 4 + 5 = 2.5(7x + 3) + 4 + 5 Reorder the terms: 2.5(3 + 7x) + 4 + 5 = 2.5(7x + 3) + 4 + 5 (3 * 2.5 + 7x * 2.5) + 4 + 5 = 2.5(7x + 3) + 4 + 5 (7.5 + 17.5x) + 4 + 5 = 2.5(7x + 3) + 4 + 5 Reorder the terms: 7.5 + 4 + 5 + 17.5x = 2.5(7x + 3) + 4 + 5 Combine like terms: 7.5 + 4 = 11.5 11.5 + 5 + 17.5x = 2.5(7x + 3) + 4 + 5 Combine like terms: 11.5 + 5 = 16.5 16.5 + 17.5x = 2.5(7x + 3) + 4 + 5 Reorder the terms: 16.5 + 17.5x = 2.5(3 + 7x) + 4 + 5 16.5 + 17.5x = (3 * 2.5 + 7x * 2.5) + 4 + 5 16.5 + 17.5x = (7.5 + 17.5x) + 4 + 5 Reorder the terms: 16.5 + 17.5x = 7.5 + 4 + 5 + 17.5x Combine like terms: 7.5 + 4 = 11.5 16.5 + 17.5x = 11.5 + 5 + 17.5x Combine like terms: 11.5 + 5 = 16.5 16.5 + 17.5x = 16.5 + 17.5x Add '-16.5' to each side of the equation. 16.5 + -16.5 + 17.5x = 16.5 + -16.5 + 17.5x Combine like terms: 16.5 + -16.5 = 0.0 0.0 + 17.5x = 16.5 + -16.5 + 17.5x 17.5x = 16.5 + -16.5 + 17.5x Combine like terms: 16.5 + -16.5 = 0.0 17.5x = 0.0 + 17.5x 17.5x = 17.5x Add '-17.5x' to each side of the equation. 17.5x + -17.5x = 17.5x + -17.5x Combine like terms: 17.5x + -17.5x = 0.0 0.0 = 17.5x + -17.5x Combine like terms: 17.5x + -17.5x = 0.0 0.0 = 0.0 Solving 0.0 = 0.0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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