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Simplifying 5(x + -2) + -8 = 3(x + -2) + 2x + -12 Reorder the terms: 5(-2 + x) + -8 = 3(x + -2) + 2x + -12 (-2 * 5 + x * 5) + -8 = 3(x + -2) + 2x + -12 (-10 + 5x) + -8 = 3(x + -2) + 2x + -12 Reorder the terms: -10 + -8 + 5x = 3(x + -2) + 2x + -12 Combine like terms: -10 + -8 = -18 -18 + 5x = 3(x + -2) + 2x + -12 Reorder the terms: -18 + 5x = 3(-2 + x) + 2x + -12 -18 + 5x = (-2 * 3 + x * 3) + 2x + -12 -18 + 5x = (-6 + 3x) + 2x + -12 Reorder the terms: -18 + 5x = -6 + -12 + 3x + 2x Combine like terms: -6 + -12 = -18 -18 + 5x = -18 + 3x + 2x Combine like terms: 3x + 2x = 5x -18 + 5x = -18 + 5x Add '18' to each side of the equation. -18 + 18 + 5x = -18 + 18 + 5x Combine like terms: -18 + 18 = 0 0 + 5x = -18 + 18 + 5x 5x = -18 + 18 + 5x Combine like terms: -18 + 18 = 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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