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Simplifying 32x + -2 = 4(7x + -1) + 4x + 2 Reorder the terms: -2 + 32x = 4(7x + -1) + 4x + 2 Reorder the terms: -2 + 32x = 4(-1 + 7x) + 4x + 2 -2 + 32x = (-1 * 4 + 7x * 4) + 4x + 2 -2 + 32x = (-4 + 28x) + 4x + 2 Reorder the terms: -2 + 32x = -4 + 2 + 28x + 4x Combine like terms: -4 + 2 = -2 -2 + 32x = -2 + 28x + 4x Combine like terms: 28x + 4x = 32x -2 + 32x = -2 + 32x Add '2' to each side of the equation. -2 + 2 + 32x = -2 + 2 + 32x Combine like terms: -2 + 2 = 0 0 + 32x = -2 + 2 + 32x 32x = -2 + 2 + 32x Combine like terms: -2 + 2 = 0 32x = 0 + 32x 32x = 32x Add '-32x' to each side of the equation. 32x + -32x = 32x + -32x Combine like terms: 32x + -32x = 0 0 = 32x + -32x Combine like terms: 32x + -32x = 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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