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Simplifying (3x + 4) + -1(6x + -7) = 11 + -3x Reorder the terms: (4 + 3x) + -1(6x + -7) = 11 + -3x Remove parenthesis around (4 + 3x) 4 + 3x + -1(6x + -7) = 11 + -3x Reorder the terms: 4 + 3x + -1(-7 + 6x) = 11 + -3x 4 + 3x + (-7 * -1 + 6x * -1) = 11 + -3x 4 + 3x + (7 + -6x) = 11 + -3x Reorder the terms: 4 + 7 + 3x + -6x = 11 + -3x Combine like terms: 4 + 7 = 11 11 + 3x + -6x = 11 + -3x Combine like terms: 3x + -6x = -3x 11 + -3x = 11 + -3x Add '-11' to each side of the equation. 11 + -11 + -3x = 11 + -11 + -3x Combine like terms: 11 + -11 = 0 0 + -3x = 11 + -11 + -3x -3x = 11 + -11 + -3x Combine like terms: 11 + -11 = 0 -3x = 0 + -3x -3x = -3x Add '3x' to each side of the equation. -3x + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 0 = -3x + 3x Combine like terms: -3x + 3x = 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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