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Simplifying -2x + 6x = 5(x + 2) + -1(x + 10) Combine like terms: -2x + 6x = 4x 4x = 5(x + 2) + -1(x + 10) Reorder the terms: 4x = 5(2 + x) + -1(x + 10) 4x = (2 * 5 + x * 5) + -1(x + 10) 4x = (10 + 5x) + -1(x + 10) Reorder the terms: 4x = 10 + 5x + -1(10 + x) 4x = 10 + 5x + (10 * -1 + x * -1) 4x = 10 + 5x + (-10 + -1x) Reorder the terms: 4x = 10 + -10 + 5x + -1x Combine like terms: 10 + -10 = 0 4x = 0 + 5x + -1x 4x = 5x + -1x Combine like terms: 5x + -1x = 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 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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