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Simplifying 5x + -1(3x + 7) = 9 + 2(x + -8) Reorder the terms: 5x + -1(7 + 3x) = 9 + 2(x + -8) 5x + (7 * -1 + 3x * -1) = 9 + 2(x + -8) 5x + (-7 + -3x) = 9 + 2(x + -8) Reorder the terms: -7 + 5x + -3x = 9 + 2(x + -8) Combine like terms: 5x + -3x = 2x -7 + 2x = 9 + 2(x + -8) Reorder the terms: -7 + 2x = 9 + 2(-8 + x) -7 + 2x = 9 + (-8 * 2 + x * 2) -7 + 2x = 9 + (-16 + 2x) Combine like terms: 9 + -16 = -7 -7 + 2x = -7 + 2x Add '7' to each side of the equation. -7 + 7 + 2x = -7 + 7 + 2x Combine like terms: -7 + 7 = 0 0 + 2x = -7 + 7 + 2x 2x = -7 + 7 + 2x Combine like terms: -7 + 7 = 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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