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Simplifying -4(x + 1) + -1x + -9 = -5(x + 4) + 7 Reorder the terms: -4(1 + x) + -1x + -9 = -5(x + 4) + 7 (1 * -4 + x * -4) + -1x + -9 = -5(x + 4) + 7 (-4 + -4x) + -1x + -9 = -5(x + 4) + 7 Reorder the terms: -4 + -9 + -4x + -1x = -5(x + 4) + 7 Combine like terms: -4 + -9 = -13 -13 + -4x + -1x = -5(x + 4) + 7 Combine like terms: -4x + -1x = -5x -13 + -5x = -5(x + 4) + 7 Reorder the terms: -13 + -5x = -5(4 + x) + 7 -13 + -5x = (4 * -5 + x * -5) + 7 -13 + -5x = (-20 + -5x) + 7 Reorder the terms: -13 + -5x = -20 + 7 + -5x Combine like terms: -20 + 7 = -13 -13 + -5x = -13 + -5x Add '13' to each side of the equation. -13 + 13 + -5x = -13 + 13 + -5x Combine like terms: -13 + 13 = 0 0 + -5x = -13 + 13 + -5x -5x = -13 + 13 + -5x Combine like terms: -13 + 13 = 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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