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Simplifying -5(x + 2) + -1x + -7 = -6(x + 5) + 13 Reorder the terms: -5(2 + x) + -1x + -7 = -6(x + 5) + 13 (2 * -5 + x * -5) + -1x + -7 = -6(x + 5) + 13 (-10 + -5x) + -1x + -7 = -6(x + 5) + 13 Reorder the terms: -10 + -7 + -5x + -1x = -6(x + 5) + 13 Combine like terms: -10 + -7 = -17 -17 + -5x + -1x = -6(x + 5) + 13 Combine like terms: -5x + -1x = -6x -17 + -6x = -6(x + 5) + 13 Reorder the terms: -17 + -6x = -6(5 + x) + 13 -17 + -6x = (5 * -6 + x * -6) + 13 -17 + -6x = (-30 + -6x) + 13 Reorder the terms: -17 + -6x = -30 + 13 + -6x Combine like terms: -30 + 13 = -17 -17 + -6x = -17 + -6x Add '17' to each side of the equation. -17 + 17 + -6x = -17 + 17 + -6x Combine like terms: -17 + 17 = 0 0 + -6x = -17 + 17 + -6x -6x = -17 + 17 + -6x Combine like terms: -17 + 17 = 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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