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Simplifying -4(x + 3) + -1x + -5 = -5(x + 4) + 3 Reorder the terms: -4(3 + x) + -1x + -5 = -5(x + 4) + 3 (3 * -4 + x * -4) + -1x + -5 = -5(x + 4) + 3 (-12 + -4x) + -1x + -5 = -5(x + 4) + 3 Reorder the terms: -12 + -5 + -4x + -1x = -5(x + 4) + 3 Combine like terms: -12 + -5 = -17 -17 + -4x + -1x = -5(x + 4) + 3 Combine like terms: -4x + -1x = -5x -17 + -5x = -5(x + 4) + 3 Reorder the terms: -17 + -5x = -5(4 + x) + 3 -17 + -5x = (4 * -5 + x * -5) + 3 -17 + -5x = (-20 + -5x) + 3 Reorder the terms: -17 + -5x = -20 + 3 + -5x Combine like terms: -20 + 3 = -17 -17 + -5x = -17 + -5x Add '17' to each side of the equation. -17 + 17 + -5x = -17 + 17 + -5x Combine like terms: -17 + 17 = 0 0 + -5x = -17 + 17 + -5x -5x = -17 + 17 + -5x Combine like terms: -17 + 17 = 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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