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Simplifying 3(x + -1) + 2(x + -2) = 5x + -7 Reorder the terms: 3(-1 + x) + 2(x + -2) = 5x + -7 (-1 * 3 + x * 3) + 2(x + -2) = 5x + -7 (-3 + 3x) + 2(x + -2) = 5x + -7 Reorder the terms: -3 + 3x + 2(-2 + x) = 5x + -7 -3 + 3x + (-2 * 2 + x * 2) = 5x + -7 -3 + 3x + (-4 + 2x) = 5x + -7 Reorder the terms: -3 + -4 + 3x + 2x = 5x + -7 Combine like terms: -3 + -4 = -7 -7 + 3x + 2x = 5x + -7 Combine like terms: 3x + 2x = 5x -7 + 5x = 5x + -7 Reorder the terms: -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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