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Simplifying 5(x + -4) = x + 2(2x + -10) Reorder the terms: 5(-4 + x) = x + 2(2x + -10) (-4 * 5 + x * 5) = x + 2(2x + -10) (-20 + 5x) = x + 2(2x + -10) Reorder the terms: -20 + 5x = x + 2(-10 + 2x) -20 + 5x = x + (-10 * 2 + 2x * 2) -20 + 5x = x + (-20 + 4x) Reorder the terms: -20 + 5x = -20 + x + 4x Combine like terms: x + 4x = 5x -20 + 5x = -20 + 5x Add '20' to each side of the equation. -20 + 20 + 5x = -20 + 20 + 5x Combine like terms: -20 + 20 = 0 0 + 5x = -20 + 20 + 5x 5x = -20 + 20 + 5x Combine like terms: -20 + 20 = 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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