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Simplifying 15x + -32 = 5(2x + -8) + 5x + 8 Reorder the terms: -32 + 15x = 5(2x + -8) + 5x + 8 Reorder the terms: -32 + 15x = 5(-8 + 2x) + 5x + 8 -32 + 15x = (-8 * 5 + 2x * 5) + 5x + 8 -32 + 15x = (-40 + 10x) + 5x + 8 Reorder the terms: -32 + 15x = -40 + 8 + 10x + 5x Combine like terms: -40 + 8 = -32 -32 + 15x = -32 + 10x + 5x Combine like terms: 10x + 5x = 15x -32 + 15x = -32 + 15x Add '32' to each side of the equation. -32 + 32 + 15x = -32 + 32 + 15x Combine like terms: -32 + 32 = 0 0 + 15x = -32 + 32 + 15x 15x = -32 + 32 + 15x Combine like terms: -32 + 32 = 0 15x = 0 + 15x 15x = 15x Add '-15x' to each side of the equation. 15x + -15x = 15x + -15x Combine like terms: 15x + -15x = 0 0 = 15x + -15x Combine like terms: 15x + -15x = 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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