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Simplifying 3x + -2(4x + 5) = 3x + -6 + -4(2x + 1) Reorder the terms: 3x + -2(5 + 4x) = 3x + -6 + -4(2x + 1) 3x + (5 * -2 + 4x * -2) = 3x + -6 + -4(2x + 1) 3x + (-10 + -8x) = 3x + -6 + -4(2x + 1) Reorder the terms: -10 + 3x + -8x = 3x + -6 + -4(2x + 1) Combine like terms: 3x + -8x = -5x -10 + -5x = 3x + -6 + -4(2x + 1) Reorder the terms: -10 + -5x = 3x + -6 + -4(1 + 2x) -10 + -5x = 3x + -6 + (1 * -4 + 2x * -4) -10 + -5x = 3x + -6 + (-4 + -8x) Reorder the terms: -10 + -5x = -6 + -4 + 3x + -8x Combine like terms: -6 + -4 = -10 -10 + -5x = -10 + 3x + -8x Combine like terms: 3x + -8x = -5x -10 + -5x = -10 + -5x Add '10' to each side of the equation. -10 + 10 + -5x = -10 + 10 + -5x Combine like terms: -10 + 10 = 0 0 + -5x = -10 + 10 + -5x -5x = -10 + 10 + -5x Combine like terms: -10 + 10 = 0 -5x = 0 + -5x -5x = -5x Add '5x' to each side of the equation. -5x + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 0 = -5x + 5x Combine like terms: -5x + 5x = 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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