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Simplifying 2(x + -5) + 3(x + -1) = 5x + -13 Reorder the terms: 2(-5 + x) + 3(x + -1) = 5x + -13 (-5 * 2 + x * 2) + 3(x + -1) = 5x + -13 (-10 + 2x) + 3(x + -1) = 5x + -13 Reorder the terms: -10 + 2x + 3(-1 + x) = 5x + -13 -10 + 2x + (-1 * 3 + x * 3) = 5x + -13 -10 + 2x + (-3 + 3x) = 5x + -13 Reorder the terms: -10 + -3 + 2x + 3x = 5x + -13 Combine like terms: -10 + -3 = -13 -13 + 2x + 3x = 5x + -13 Combine like terms: 2x + 3x = 5x -13 + 5x = 5x + -13 Reorder the terms: -13 + 5x = -13 + 5x Add '13' to each side of the equation. -13 + 13 + 5x = -13 + 13 + 5x Combine like terms: -13 + 13 = 0 0 + 5x = -13 + 13 + 5x 5x = -13 + 13 + 5x Combine like terms: -13 + 13 = 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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