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Simplifying 15(x + 5) = 3(5x + 4) + 63 Reorder the terms: 15(5 + x) = 3(5x + 4) + 63 (5 * 15 + x * 15) = 3(5x + 4) + 63 (75 + 15x) = 3(5x + 4) + 63 Reorder the terms: 75 + 15x = 3(4 + 5x) + 63 75 + 15x = (4 * 3 + 5x * 3) + 63 75 + 15x = (12 + 15x) + 63 Reorder the terms: 75 + 15x = 12 + 63 + 15x Combine like terms: 12 + 63 = 75 75 + 15x = 75 + 15x Add '-75' to each side of the equation. 75 + -75 + 15x = 75 + -75 + 15x Combine like terms: 75 + -75 = 0 0 + 15x = 75 + -75 + 15x 15x = 75 + -75 + 15x Combine like terms: 75 + -75 = 0 15x = 0 + 15x 15x = 15x Add '-15x' to each side of the equation. 15x + -15x = 15x + -15x Combine like terms: 15x + -15x = 0 0 = 15x + -15x Combine like terms: 15x + -15x = 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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