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Simplifying 7(x + 1) + -14 = 2x + 2 + -1(9 + -5x) Reorder the terms: 7(1 + x) + -14 = 2x + 2 + -1(9 + -5x) (1 * 7 + x * 7) + -14 = 2x + 2 + -1(9 + -5x) (7 + 7x) + -14 = 2x + 2 + -1(9 + -5x) Reorder the terms: 7 + -14 + 7x = 2x + 2 + -1(9 + -5x) Combine like terms: 7 + -14 = -7 -7 + 7x = 2x + 2 + -1(9 + -5x) -7 + 7x = 2x + 2 + (9 * -1 + -5x * -1) -7 + 7x = 2x + 2 + (-9 + 5x) Reorder the terms: -7 + 7x = 2 + -9 + 2x + 5x Combine like terms: 2 + -9 = -7 -7 + 7x = -7 + 2x + 5x Combine like terms: 2x + 5x = 7x -7 + 7x = -7 + 7x Add '7' to each side of the equation. -7 + 7 + 7x = -7 + 7 + 7x Combine like terms: -7 + 7 = 0 0 + 7x = -7 + 7 + 7x 7x = -7 + 7 + 7x Combine like terms: -7 + 7 = 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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