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Simplifying 5(x + -2) + -3 = 3x + 2(x + -6) + -1 Reorder the terms: 5(-2 + x) + -3 = 3x + 2(x + -6) + -1 (-2 * 5 + x * 5) + -3 = 3x + 2(x + -6) + -1 (-10 + 5x) + -3 = 3x + 2(x + -6) + -1 Reorder the terms: -10 + -3 + 5x = 3x + 2(x + -6) + -1 Combine like terms: -10 + -3 = -13 -13 + 5x = 3x + 2(x + -6) + -1 Reorder the terms: -13 + 5x = 3x + 2(-6 + x) + -1 -13 + 5x = 3x + (-6 * 2 + x * 2) + -1 -13 + 5x = 3x + (-12 + 2x) + -1 Reorder the terms: -13 + 5x = -12 + -1 + 3x + 2x Combine like terms: -12 + -1 = -13 -13 + 5x = -13 + 3x + 2x Combine like terms: 3x + 2x = 5x -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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