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Simplifying 7(x + 2) = 5(x + -2) + 2(x + 12) Reorder the terms: 7(2 + x) = 5(x + -2) + 2(x + 12) (2 * 7 + x * 7) = 5(x + -2) + 2(x + 12) (14 + 7x) = 5(x + -2) + 2(x + 12) Reorder the terms: 14 + 7x = 5(-2 + x) + 2(x + 12) 14 + 7x = (-2 * 5 + x * 5) + 2(x + 12) 14 + 7x = (-10 + 5x) + 2(x + 12) Reorder the terms: 14 + 7x = -10 + 5x + 2(12 + x) 14 + 7x = -10 + 5x + (12 * 2 + x * 2) 14 + 7x = -10 + 5x + (24 + 2x) Reorder the terms: 14 + 7x = -10 + 24 + 5x + 2x Combine like terms: -10 + 24 = 14 14 + 7x = 14 + 5x + 2x Combine like terms: 5x + 2x = 7x 14 + 7x = 14 + 7x Add '-14' to each side of the equation. 14 + -14 + 7x = 14 + -14 + 7x Combine like terms: 14 + -14 = 0 0 + 7x = 14 + -14 + 7x 7x = 14 + -14 + 7x Combine like terms: 14 + -14 = 0 7x = 0 + 7x 7x = 7x Add '-7x' to each side of the equation. 7x + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 0 = 7x + -7x Combine like terms: 7x + -7x = 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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