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Simplifying 2 + -1(x + 5) = 5x + -3(2x + 1) Reorder the terms: 2 + -1(5 + x) = 5x + -3(2x + 1) 2 + (5 * -1 + x * -1) = 5x + -3(2x + 1) 2 + (-5 + -1x) = 5x + -3(2x + 1) Combine like terms: 2 + -5 = -3 -3 + -1x = 5x + -3(2x + 1) Reorder the terms: -3 + -1x = 5x + -3(1 + 2x) -3 + -1x = 5x + (1 * -3 + 2x * -3) -3 + -1x = 5x + (-3 + -6x) Reorder the terms: -3 + -1x = -3 + 5x + -6x Combine like terms: 5x + -6x = -1x -3 + -1x = -3 + -1x Add '3' to each side of the equation. -3 + 3 + -1x = -3 + 3 + -1x Combine like terms: -3 + 3 = 0 0 + -1x = -3 + 3 + -1x -1x = -3 + 3 + -1x Combine like terms: -3 + 3 = 0 -1x = 0 + -1x -1x = -1x Add 'x' to each side of the equation. -1x + x = -1x + x Combine like terms: -1x + x = 0 0 = -1x + x Combine like terms: -1x + x = 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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