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Simplifying -4(x + 5) + -1x + -3 = -5(x + 2) + -13 Reorder the terms: -4(5 + x) + -1x + -3 = -5(x + 2) + -13 (5 * -4 + x * -4) + -1x + -3 = -5(x + 2) + -13 (-20 + -4x) + -1x + -3 = -5(x + 2) + -13 Reorder the terms: -20 + -3 + -4x + -1x = -5(x + 2) + -13 Combine like terms: -20 + -3 = -23 -23 + -4x + -1x = -5(x + 2) + -13 Combine like terms: -4x + -1x = -5x -23 + -5x = -5(x + 2) + -13 Reorder the terms: -23 + -5x = -5(2 + x) + -13 -23 + -5x = (2 * -5 + x * -5) + -13 -23 + -5x = (-10 + -5x) + -13 Reorder the terms: -23 + -5x = -10 + -13 + -5x Combine like terms: -10 + -13 = -23 -23 + -5x = -23 + -5x Add '23' to each side of the equation. -23 + 23 + -5x = -23 + 23 + -5x Combine like terms: -23 + 23 = 0 0 + -5x = -23 + 23 + -5x -5x = -23 + 23 + -5x Combine like terms: -23 + 23 = 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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