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Simplifying 5(x + -7) + 2(1 + -1x) = 3(x + -11) Reorder the terms: 5(-7 + x) + 2(1 + -1x) = 3(x + -11) (-7 * 5 + x * 5) + 2(1 + -1x) = 3(x + -11) (-35 + 5x) + 2(1 + -1x) = 3(x + -11) -35 + 5x + (1 * 2 + -1x * 2) = 3(x + -11) -35 + 5x + (2 + -2x) = 3(x + -11) Reorder the terms: -35 + 2 + 5x + -2x = 3(x + -11) Combine like terms: -35 + 2 = -33 -33 + 5x + -2x = 3(x + -11) Combine like terms: 5x + -2x = 3x -33 + 3x = 3(x + -11) Reorder the terms: -33 + 3x = 3(-11 + x) -33 + 3x = (-11 * 3 + x * 3) -33 + 3x = (-33 + 3x) Add '33' to each side of the equation. -33 + 33 + 3x = -33 + 33 + 3x Combine like terms: -33 + 33 = 0 0 + 3x = -33 + 33 + 3x 3x = -33 + 33 + 3x Combine like terms: -33 + 33 = 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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