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Simplifying 10(x + -2) = 5(2x + -5) + 5 Reorder the terms: 10(-2 + x) = 5(2x + -5) + 5 (-2 * 10 + x * 10) = 5(2x + -5) + 5 (-20 + 10x) = 5(2x + -5) + 5 Reorder the terms: -20 + 10x = 5(-5 + 2x) + 5 -20 + 10x = (-5 * 5 + 2x * 5) + 5 -20 + 10x = (-25 + 10x) + 5 Reorder the terms: -20 + 10x = -25 + 5 + 10x Combine like terms: -25 + 5 = -20 -20 + 10x = -20 + 10x Add '20' to each side of the equation. -20 + 20 + 10x = -20 + 20 + 10x Combine like terms: -20 + 20 = 0 0 + 10x = -20 + 20 + 10x 10x = -20 + 20 + 10x Combine like terms: -20 + 20 = 0 10x = 0 + 10x 10x = 10x Add '-10x' to each side of the equation. 10x + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 0 = 10x + -10x Combine like terms: 10x + -10x = 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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