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Simplifying 2(x + -1) + -7x = 18 + -5(x + 4) Reorder the terms: 2(-1 + x) + -7x = 18 + -5(x + 4) (-1 * 2 + x * 2) + -7x = 18 + -5(x + 4) (-2 + 2x) + -7x = 18 + -5(x + 4) Combine like terms: 2x + -7x = -5x -2 + -5x = 18 + -5(x + 4) Reorder the terms: -2 + -5x = 18 + -5(4 + x) -2 + -5x = 18 + (4 * -5 + x * -5) -2 + -5x = 18 + (-20 + -5x) Combine like terms: 18 + -20 = -2 -2 + -5x = -2 + -5x Add '2' to each side of the equation. -2 + 2 + -5x = -2 + 2 + -5x Combine like terms: -2 + 2 = 0 0 + -5x = -2 + 2 + -5x -5x = -2 + 2 + -5x Combine like terms: -2 + 2 = 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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