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Simplifying 15x + 2 = 2(5x + -2) + 5x + 6 Reorder the terms: 2 + 15x = 2(5x + -2) + 5x + 6 Reorder the terms: 2 + 15x = 2(-2 + 5x) + 5x + 6 2 + 15x = (-2 * 2 + 5x * 2) + 5x + 6 2 + 15x = (-4 + 10x) + 5x + 6 Reorder the terms: 2 + 15x = -4 + 6 + 10x + 5x Combine like terms: -4 + 6 = 2 2 + 15x = 2 + 10x + 5x Combine like terms: 10x + 5x = 15x 2 + 15x = 2 + 15x Add '-2' to each side of the equation. 2 + -2 + 15x = 2 + -2 + 15x Combine like terms: 2 + -2 = 0 0 + 15x = 2 + -2 + 15x 15x = 2 + -2 + 15x Combine like terms: 2 + -2 = 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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