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Simplifying 5(x + 3) = 2(x + -3) + 3(x + 7) Reorder the terms: 5(3 + x) = 2(x + -3) + 3(x + 7) (3 * 5 + x * 5) = 2(x + -3) + 3(x + 7) (15 + 5x) = 2(x + -3) + 3(x + 7) Reorder the terms: 15 + 5x = 2(-3 + x) + 3(x + 7) 15 + 5x = (-3 * 2 + x * 2) + 3(x + 7) 15 + 5x = (-6 + 2x) + 3(x + 7) Reorder the terms: 15 + 5x = -6 + 2x + 3(7 + x) 15 + 5x = -6 + 2x + (7 * 3 + x * 3) 15 + 5x = -6 + 2x + (21 + 3x) Reorder the terms: 15 + 5x = -6 + 21 + 2x + 3x Combine like terms: -6 + 21 = 15 15 + 5x = 15 + 2x + 3x Combine like terms: 2x + 3x = 5x 15 + 5x = 15 + 5x Add '-15' to each side of the equation. 15 + -15 + 5x = 15 + -15 + 5x Combine like terms: 15 + -15 = 0 0 + 5x = 15 + -15 + 5x 5x = 15 + -15 + 5x Combine like terms: 15 + -15 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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