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Simplifying 4(5x + -6) + -7 = 20x + -31 Reorder the terms: 4(-6 + 5x) + -7 = 20x + -31 (-6 * 4 + 5x * 4) + -7 = 20x + -31 (-24 + 20x) + -7 = 20x + -31 Reorder the terms: -24 + -7 + 20x = 20x + -31 Combine like terms: -24 + -7 = -31 -31 + 20x = 20x + -31 Reorder the terms: -31 + 20x = -31 + 20x Add '31' to each side of the equation. -31 + 31 + 20x = -31 + 31 + 20x Combine like terms: -31 + 31 = 0 0 + 20x = -31 + 31 + 20x 20x = -31 + 31 + 20x Combine like terms: -31 + 31 = 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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