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Simplifying 5(4x + 3) = 10(2x + 3) + -15 Reorder the terms: 5(3 + 4x) = 10(2x + 3) + -15 (3 * 5 + 4x * 5) = 10(2x + 3) + -15 (15 + 20x) = 10(2x + 3) + -15 Reorder the terms: 15 + 20x = 10(3 + 2x) + -15 15 + 20x = (3 * 10 + 2x * 10) + -15 15 + 20x = (30 + 20x) + -15 Reorder the terms: 15 + 20x = 30 + -15 + 20x Combine like terms: 30 + -15 = 15 15 + 20x = 15 + 20x Add '-15' to each side of the equation. 15 + -15 + 20x = 15 + -15 + 20x Combine like terms: 15 + -15 = 0 0 + 20x = 15 + -15 + 20x 20x = 15 + -15 + 20x Combine like terms: 15 + -15 = 0 20x = 0 + 20x 20x = 20x Add '-20x' to each side of the equation. 20x + -20x = 20x + -20x Combine like terms: 20x + -20x = 0 0 = 20x + -20x Combine like terms: 20x + -20x = 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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