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Simplifying 5(1 + -1x) + 2(2x + 5) = 15 + -1x (1 * 5 + -1x * 5) + 2(2x + 5) = 15 + -1x (5 + -5x) + 2(2x + 5) = 15 + -1x Reorder the terms: 5 + -5x + 2(5 + 2x) = 15 + -1x 5 + -5x + (5 * 2 + 2x * 2) = 15 + -1x 5 + -5x + (10 + 4x) = 15 + -1x Reorder the terms: 5 + 10 + -5x + 4x = 15 + -1x Combine like terms: 5 + 10 = 15 15 + -5x + 4x = 15 + -1x Combine like terms: -5x + 4x = -1x 15 + -1x = 15 + -1x Add '-15' to each side of the equation. 15 + -15 + -1x = 15 + -15 + -1x Combine like terms: 15 + -15 = 0 0 + -1x = 15 + -15 + -1x -1x = 15 + -15 + -1x Combine like terms: 15 + -15 = 0 -1x = 0 + -1x -1x = -1x Add 'x' to each side of the equation. -1x + x = -1x + x Combine like terms: -1x + x = 0 0 = -1x + x Combine like terms: -1x + x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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