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Simplifying 5(7 + -5x) + -3(5 + -6x) = 20 + -7x (7 * 5 + -5x * 5) + -3(5 + -6x) = 20 + -7x (35 + -25x) + -3(5 + -6x) = 20 + -7x 35 + -25x + (5 * -3 + -6x * -3) = 20 + -7x 35 + -25x + (-15 + 18x) = 20 + -7x Reorder the terms: 35 + -15 + -25x + 18x = 20 + -7x Combine like terms: 35 + -15 = 20 20 + -25x + 18x = 20 + -7x Combine like terms: -25x + 18x = -7x 20 + -7x = 20 + -7x Add '-20' to each side of the equation. 20 + -20 + -7x = 20 + -20 + -7x Combine like terms: 20 + -20 = 0 0 + -7x = 20 + -20 + -7x -7x = 20 + -20 + -7x Combine like terms: 20 + -20 = 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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