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Simplifying 5(5x + -2) = -7(x + -3) + -31 + 32x Reorder the terms: 5(-2 + 5x) = -7(x + -3) + -31 + 32x (-2 * 5 + 5x * 5) = -7(x + -3) + -31 + 32x (-10 + 25x) = -7(x + -3) + -31 + 32x Reorder the terms: -10 + 25x = -7(-3 + x) + -31 + 32x -10 + 25x = (-3 * -7 + x * -7) + -31 + 32x -10 + 25x = (21 + -7x) + -31 + 32x Reorder the terms: -10 + 25x = 21 + -31 + -7x + 32x Combine like terms: 21 + -31 = -10 -10 + 25x = -10 + -7x + 32x Combine like terms: -7x + 32x = 25x -10 + 25x = -10 + 25x Add '10' to each side of the equation. -10 + 10 + 25x = -10 + 10 + 25x Combine like terms: -10 + 10 = 0 0 + 25x = -10 + 10 + 25x 25x = -10 + 10 + 25x Combine like terms: -10 + 10 = 0 25x = 0 + 25x 25x = 25x Add '-25x' to each side of the equation. 25x + -25x = 25x + -25x Combine like terms: 25x + -25x = 0 0 = 25x + -25x Combine like terms: 25x + -25x = 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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