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Simplifying 7(2x + -1) + -3(4x + 5) = 2(x + -11) Reorder the terms: 7(-1 + 2x) + -3(4x + 5) = 2(x + -11) (-1 * 7 + 2x * 7) + -3(4x + 5) = 2(x + -11) (-7 + 14x) + -3(4x + 5) = 2(x + -11) Reorder the terms: -7 + 14x + -3(5 + 4x) = 2(x + -11) -7 + 14x + (5 * -3 + 4x * -3) = 2(x + -11) -7 + 14x + (-15 + -12x) = 2(x + -11) Reorder the terms: -7 + -15 + 14x + -12x = 2(x + -11) Combine like terms: -7 + -15 = -22 -22 + 14x + -12x = 2(x + -11) Combine like terms: 14x + -12x = 2x -22 + 2x = 2(x + -11) Reorder the terms: -22 + 2x = 2(-11 + x) -22 + 2x = (-11 * 2 + x * 2) -22 + 2x = (-22 + 2x) Add '22' to each side of the equation. -22 + 22 + 2x = -22 + 22 + 2x Combine like terms: -22 + 22 = 0 0 + 2x = -22 + 22 + 2x 2x = -22 + 22 + 2x Combine like terms: -22 + 22 = 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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