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Simplifying 17x + -2(2 + -5x) = 9(3x + 4) + -40 17x + (2 * -2 + -5x * -2) = 9(3x + 4) + -40 17x + (-4 + 10x) = 9(3x + 4) + -40 Reorder the terms: -4 + 17x + 10x = 9(3x + 4) + -40 Combine like terms: 17x + 10x = 27x -4 + 27x = 9(3x + 4) + -40 Reorder the terms: -4 + 27x = 9(4 + 3x) + -40 -4 + 27x = (4 * 9 + 3x * 9) + -40 -4 + 27x = (36 + 27x) + -40 Reorder the terms: -4 + 27x = 36 + -40 + 27x Combine like terms: 36 + -40 = -4 -4 + 27x = -4 + 27x Add '4' to each side of the equation. -4 + 4 + 27x = -4 + 4 + 27x Combine like terms: -4 + 4 = 0 0 + 27x = -4 + 4 + 27x 27x = -4 + 4 + 27x Combine like terms: -4 + 4 = 0 27x = 0 + 27x 27x = 27x Add '-27x' to each side of the equation. 27x + -27x = 27x + -27x Combine like terms: 27x + -27x = 0 0 = 27x + -27x Combine like terms: 27x + -27x = 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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