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Simplifying -5(x + 1) + -1x + -14 = -6(x + 4) + 5 Reorder the terms: -5(1 + x) + -1x + -14 = -6(x + 4) + 5 (1 * -5 + x * -5) + -1x + -14 = -6(x + 4) + 5 (-5 + -5x) + -1x + -14 = -6(x + 4) + 5 Reorder the terms: -5 + -14 + -5x + -1x = -6(x + 4) + 5 Combine like terms: -5 + -14 = -19 -19 + -5x + -1x = -6(x + 4) + 5 Combine like terms: -5x + -1x = -6x -19 + -6x = -6(x + 4) + 5 Reorder the terms: -19 + -6x = -6(4 + x) + 5 -19 + -6x = (4 * -6 + x * -6) + 5 -19 + -6x = (-24 + -6x) + 5 Reorder the terms: -19 + -6x = -24 + 5 + -6x Combine like terms: -24 + 5 = -19 -19 + -6x = -19 + -6x Add '19' to each side of the equation. -19 + 19 + -6x = -19 + 19 + -6x Combine like terms: -19 + 19 = 0 0 + -6x = -19 + 19 + -6x -6x = -19 + 19 + -6x Combine like terms: -19 + 19 = 0 -6x = 0 + -6x -6x = -6x Add '6x' to each side of the equation. -6x + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 0 = -6x + 6x Combine like terms: -6x + 6x = 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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