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Simplifying 3(9 + -1x) + -35 = 17x + -4(2 + 5x) (9 * 3 + -1x * 3) + -35 = 17x + -4(2 + 5x) (27 + -3x) + -35 = 17x + -4(2 + 5x) Reorder the terms: 27 + -35 + -3x = 17x + -4(2 + 5x) Combine like terms: 27 + -35 = -8 -8 + -3x = 17x + -4(2 + 5x) -8 + -3x = 17x + (2 * -4 + 5x * -4) -8 + -3x = 17x + (-8 + -20x) Reorder the terms: -8 + -3x = -8 + 17x + -20x Combine like terms: 17x + -20x = -3x -8 + -3x = -8 + -3x Add '8' to each side of the equation. -8 + 8 + -3x = -8 + 8 + -3x Combine like terms: -8 + 8 = 0 0 + -3x = -8 + 8 + -3x -3x = -8 + 8 + -3x Combine like terms: -8 + 8 = 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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