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Simplifying 4(1 + -8x) + 5(6x + -1) = -1 + -5x + 3x (1 * 4 + -8x * 4) + 5(6x + -1) = -1 + -5x + 3x (4 + -32x) + 5(6x + -1) = -1 + -5x + 3x Reorder the terms: 4 + -32x + 5(-1 + 6x) = -1 + -5x + 3x 4 + -32x + (-1 * 5 + 6x * 5) = -1 + -5x + 3x 4 + -32x + (-5 + 30x) = -1 + -5x + 3x Reorder the terms: 4 + -5 + -32x + 30x = -1 + -5x + 3x Combine like terms: 4 + -5 = -1 -1 + -32x + 30x = -1 + -5x + 3x Combine like terms: -32x + 30x = -2x -1 + -2x = -1 + -5x + 3x Combine like terms: -5x + 3x = -2x -1 + -2x = -1 + -2x Add '1' to each side of the equation. -1 + 1 + -2x = -1 + 1 + -2x Combine like terms: -1 + 1 = 0 0 + -2x = -1 + 1 + -2x -2x = -1 + 1 + -2x Combine like terms: -1 + 1 = 0 -2x = 0 + -2x -2x = -2x Add '2x' to each side of the equation. -2x + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 0 = -2x + 2x Combine like terms: -2x + 2x = 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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