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Simplifying 4(x + -8) + x = 5(x + -7) + 3 Reorder the terms: 4(-8 + x) + x = 5(x + -7) + 3 (-8 * 4 + x * 4) + x = 5(x + -7) + 3 (-32 + 4x) + x = 5(x + -7) + 3 Combine like terms: 4x + x = 5x -32 + 5x = 5(x + -7) + 3 Reorder the terms: -32 + 5x = 5(-7 + x) + 3 -32 + 5x = (-7 * 5 + x * 5) + 3 -32 + 5x = (-35 + 5x) + 3 Reorder the terms: -32 + 5x = -35 + 3 + 5x Combine like terms: -35 + 3 = -32 -32 + 5x = -32 + 5x Add '32' to each side of the equation. -32 + 32 + 5x = -32 + 32 + 5x Combine like terms: -32 + 32 = 0 0 + 5x = -32 + 32 + 5x 5x = -32 + 32 + 5x Combine like terms: -32 + 32 = 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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