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Simplifying 3(5x + 3) + 5(x + -4) = 20x + -11 Reorder the terms: 3(3 + 5x) + 5(x + -4) = 20x + -11 (3 * 3 + 5x * 3) + 5(x + -4) = 20x + -11 (9 + 15x) + 5(x + -4) = 20x + -11 Reorder the terms: 9 + 15x + 5(-4 + x) = 20x + -11 9 + 15x + (-4 * 5 + x * 5) = 20x + -11 9 + 15x + (-20 + 5x) = 20x + -11 Reorder the terms: 9 + -20 + 15x + 5x = 20x + -11 Combine like terms: 9 + -20 = -11 -11 + 15x + 5x = 20x + -11 Combine like terms: 15x + 5x = 20x -11 + 20x = 20x + -11 Reorder the terms: -11 + 20x = -11 + 20x Add '11' to each side of the equation. -11 + 11 + 20x = -11 + 11 + 20x Combine like terms: -11 + 11 = 0 0 + 20x = -11 + 11 + 20x 20x = -11 + 11 + 20x Combine like terms: -11 + 11 = 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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