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Simplifying 3x + -6(2x + -5) + -2(4x + 5) = -17x + 20 Reorder the terms: 3x + -6(-5 + 2x) + -2(4x + 5) = -17x + 20 3x + (-5 * -6 + 2x * -6) + -2(4x + 5) = -17x + 20 3x + (30 + -12x) + -2(4x + 5) = -17x + 20 Reorder the terms: 3x + 30 + -12x + -2(5 + 4x) = -17x + 20 3x + 30 + -12x + (5 * -2 + 4x * -2) = -17x + 20 3x + 30 + -12x + (-10 + -8x) = -17x + 20 Reorder the terms: 30 + -10 + 3x + -12x + -8x = -17x + 20 Combine like terms: 30 + -10 = 20 20 + 3x + -12x + -8x = -17x + 20 Combine like terms: 3x + -12x = -9x 20 + -9x + -8x = -17x + 20 Combine like terms: -9x + -8x = -17x 20 + -17x = -17x + 20 Reorder the terms: 20 + -17x = 20 + -17x Add '-20' to each side of the equation. 20 + -20 + -17x = 20 + -20 + -17x Combine like terms: 20 + -20 = 0 0 + -17x = 20 + -20 + -17x -17x = 20 + -20 + -17x Combine like terms: 20 + -20 = 0 -17x = 0 + -17x -17x = -17x Add '17x' to each side of the equation. -17x + 17x = -17x + 17x Combine like terms: -17x + 17x = 0 0 = -17x + 17x Combine like terms: -17x + 17x = 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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