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Simplifying 4 + 5(x + -2) = 10x + -1(5x + 6) Reorder the terms: 4 + 5(-2 + x) = 10x + -1(5x + 6) 4 + (-2 * 5 + x * 5) = 10x + -1(5x + 6) 4 + (-10 + 5x) = 10x + -1(5x + 6) Combine like terms: 4 + -10 = -6 -6 + 5x = 10x + -1(5x + 6) Reorder the terms: -6 + 5x = 10x + -1(6 + 5x) -6 + 5x = 10x + (6 * -1 + 5x * -1) -6 + 5x = 10x + (-6 + -5x) Reorder the terms: -6 + 5x = -6 + 10x + -5x Combine like terms: 10x + -5x = 5x -6 + 5x = -6 + 5x Add '6' to each side of the equation. -6 + 6 + 5x = -6 + 6 + 5x Combine like terms: -6 + 6 = 0 0 + 5x = -6 + 6 + 5x 5x = -6 + 6 + 5x Combine like terms: -6 + 6 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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