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Simplifying 5x + -3(x + -1) + -7 = 2(x + -2) Reorder the terms: 5x + -3(-1 + x) + -7 = 2(x + -2) 5x + (-1 * -3 + x * -3) + -7 = 2(x + -2) 5x + (3 + -3x) + -7 = 2(x + -2) Reorder the terms: 3 + -7 + 5x + -3x = 2(x + -2) Combine like terms: 3 + -7 = -4 -4 + 5x + -3x = 2(x + -2) Combine like terms: 5x + -3x = 2x -4 + 2x = 2(x + -2) Reorder the terms: -4 + 2x = 2(-2 + x) -4 + 2x = (-2 * 2 + x * 2) -4 + 2x = (-4 + 2x) Add '4' to each side of the equation. -4 + 4 + 2x = -4 + 4 + 2x Combine like terms: -4 + 4 = 0 0 + 2x = -4 + 4 + 2x 2x = -4 + 4 + 2x Combine like terms: -4 + 4 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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