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Simplifying 2(x + -6) + -5 = 2(x + -7) + -3 Reorder the terms: 2(-6 + x) + -5 = 2(x + -7) + -3 (-6 * 2 + x * 2) + -5 = 2(x + -7) + -3 (-12 + 2x) + -5 = 2(x + -7) + -3 Reorder the terms: -12 + -5 + 2x = 2(x + -7) + -3 Combine like terms: -12 + -5 = -17 -17 + 2x = 2(x + -7) + -3 Reorder the terms: -17 + 2x = 2(-7 + x) + -3 -17 + 2x = (-7 * 2 + x * 2) + -3 -17 + 2x = (-14 + 2x) + -3 Reorder the terms: -17 + 2x = -14 + -3 + 2x Combine like terms: -14 + -3 = -17 -17 + 2x = -17 + 2x Add '17' to each side of the equation. -17 + 17 + 2x = -17 + 17 + 2x Combine like terms: -17 + 17 = 0 0 + 2x = -17 + 17 + 2x 2x = -17 + 17 + 2x Combine like terms: -17 + 17 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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