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Simplifying -4(x + 3) + -1x + -7 = -5(x + 5) + 6 Reorder the terms: -4(3 + x) + -1x + -7 = -5(x + 5) + 6 (3 * -4 + x * -4) + -1x + -7 = -5(x + 5) + 6 (-12 + -4x) + -1x + -7 = -5(x + 5) + 6 Reorder the terms: -12 + -7 + -4x + -1x = -5(x + 5) + 6 Combine like terms: -12 + -7 = -19 -19 + -4x + -1x = -5(x + 5) + 6 Combine like terms: -4x + -1x = -5x -19 + -5x = -5(x + 5) + 6 Reorder the terms: -19 + -5x = -5(5 + x) + 6 -19 + -5x = (5 * -5 + x * -5) + 6 -19 + -5x = (-25 + -5x) + 6 Reorder the terms: -19 + -5x = -25 + 6 + -5x Combine like terms: -25 + 6 = -19 -19 + -5x = -19 + -5x Add '19' to each side of the equation. -19 + 19 + -5x = -19 + 19 + -5x Combine like terms: -19 + 19 = 0 0 + -5x = -19 + 19 + -5x -5x = -19 + 19 + -5x Combine like terms: -19 + 19 = 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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