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Simplifying 5x + -9(x + 2) = 10 + -4(x + 7) Reorder the terms: 5x + -9(2 + x) = 10 + -4(x + 7) 5x + (2 * -9 + x * -9) = 10 + -4(x + 7) 5x + (-18 + -9x) = 10 + -4(x + 7) Reorder the terms: -18 + 5x + -9x = 10 + -4(x + 7) Combine like terms: 5x + -9x = -4x -18 + -4x = 10 + -4(x + 7) Reorder the terms: -18 + -4x = 10 + -4(7 + x) -18 + -4x = 10 + (7 * -4 + x * -4) -18 + -4x = 10 + (-28 + -4x) Combine like terms: 10 + -28 = -18 -18 + -4x = -18 + -4x Add '18' to each side of the equation. -18 + 18 + -4x = -18 + 18 + -4x Combine like terms: -18 + 18 = 0 0 + -4x = -18 + 18 + -4x -4x = -18 + 18 + -4x Combine like terms: -18 + 18 = 0 -4x = 0 + -4x -4x = -4x Add '4x' to each side of the equation. -4x + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 0 = -4x + 4x Combine like terms: -4x + 4x = 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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