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Simplifying 3x + 7 = 2(x + 5) + -1(3 + -1x) Reorder the terms: 7 + 3x = 2(x + 5) + -1(3 + -1x) Reorder the terms: 7 + 3x = 2(5 + x) + -1(3 + -1x) 7 + 3x = (5 * 2 + x * 2) + -1(3 + -1x) 7 + 3x = (10 + 2x) + -1(3 + -1x) 7 + 3x = 10 + 2x + (3 * -1 + -1x * -1) 7 + 3x = 10 + 2x + (-3 + 1x) Reorder the terms: 7 + 3x = 10 + -3 + 2x + 1x Combine like terms: 10 + -3 = 7 7 + 3x = 7 + 2x + 1x Combine like terms: 2x + 1x = 3x 7 + 3x = 7 + 3x Add '-7' to each side of the equation. 7 + -7 + 3x = 7 + -7 + 3x Combine like terms: 7 + -7 = 0 0 + 3x = 7 + -7 + 3x 3x = 7 + -7 + 3x Combine like terms: 7 + -7 = 0 3x = 0 + 3x 3x = 3x Add '-3x' to each side of the equation. 3x + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 0 = 3x + -3x Combine like terms: 3x + -3x = 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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