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Simplifying 5(x + 3) + 2x = 3(x + 5) + 4x Reorder the terms: 5(3 + x) + 2x = 3(x + 5) + 4x (3 * 5 + x * 5) + 2x = 3(x + 5) + 4x (15 + 5x) + 2x = 3(x + 5) + 4x Combine like terms: 5x + 2x = 7x 15 + 7x = 3(x + 5) + 4x Reorder the terms: 15 + 7x = 3(5 + x) + 4x 15 + 7x = (5 * 3 + x * 3) + 4x 15 + 7x = (15 + 3x) + 4x Combine like terms: 3x + 4x = 7x 15 + 7x = 15 + 7x Add '-15' to each side of the equation. 15 + -15 + 7x = 15 + -15 + 7x Combine like terms: 15 + -15 = 0 0 + 7x = 15 + -15 + 7x 7x = 15 + -15 + 7x Combine like terms: 15 + -15 = 0 7x = 0 + 7x 7x = 7x Add '-7x' to each side of the equation. 7x + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 0 = 7x + -7x Combine like terms: 7x + -7x = 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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