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Simplifying 5x + 7 = 2(3x + -1) + -1x + 9 Reorder the terms: 7 + 5x = 2(3x + -1) + -1x + 9 Reorder the terms: 7 + 5x = 2(-1 + 3x) + -1x + 9 7 + 5x = (-1 * 2 + 3x * 2) + -1x + 9 7 + 5x = (-2 + 6x) + -1x + 9 Reorder the terms: 7 + 5x = -2 + 9 + 6x + -1x Combine like terms: -2 + 9 = 7 7 + 5x = 7 + 6x + -1x Combine like terms: 6x + -1x = 5x 7 + 5x = 7 + 5x Add '-7' to each side of the equation. 7 + -7 + 5x = 7 + -7 + 5x Combine like terms: 7 + -7 = 0 0 + 5x = 7 + -7 + 5x 5x = 7 + -7 + 5x Combine like terms: 7 + -7 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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