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Simplifying 2(x + -7) + 3 = 5x + -1(3x + 5) + -6 Reorder the terms: 2(-7 + x) + 3 = 5x + -1(3x + 5) + -6 (-7 * 2 + x * 2) + 3 = 5x + -1(3x + 5) + -6 (-14 + 2x) + 3 = 5x + -1(3x + 5) + -6 Reorder the terms: -14 + 3 + 2x = 5x + -1(3x + 5) + -6 Combine like terms: -14 + 3 = -11 -11 + 2x = 5x + -1(3x + 5) + -6 Reorder the terms: -11 + 2x = 5x + -1(5 + 3x) + -6 -11 + 2x = 5x + (5 * -1 + 3x * -1) + -6 -11 + 2x = 5x + (-5 + -3x) + -6 Reorder the terms: -11 + 2x = -5 + -6 + 5x + -3x Combine like terms: -5 + -6 = -11 -11 + 2x = -11 + 5x + -3x Combine like terms: 5x + -3x = 2x -11 + 2x = -11 + 2x Add '11' to each side of the equation. -11 + 11 + 2x = -11 + 11 + 2x Combine like terms: -11 + 11 = 0 0 + 2x = -11 + 11 + 2x 2x = -11 + 11 + 2x Combine like terms: -11 + 11 = 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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