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Simplifying 2x + 3(x + -4) = 5(x + -2) + -2 Reorder the terms: 2x + 3(-4 + x) = 5(x + -2) + -2 2x + (-4 * 3 + x * 3) = 5(x + -2) + -2 2x + (-12 + 3x) = 5(x + -2) + -2 Reorder the terms: -12 + 2x + 3x = 5(x + -2) + -2 Combine like terms: 2x + 3x = 5x -12 + 5x = 5(x + -2) + -2 Reorder the terms: -12 + 5x = 5(-2 + x) + -2 -12 + 5x = (-2 * 5 + x * 5) + -2 -12 + 5x = (-10 + 5x) + -2 Reorder the terms: -12 + 5x = -10 + -2 + 5x Combine like terms: -10 + -2 = -12 -12 + 5x = -12 + 5x Add '12' to each side of the equation. -12 + 12 + 5x = -12 + 12 + 5x Combine like terms: -12 + 12 = 0 0 + 5x = -12 + 12 + 5x 5x = -12 + 12 + 5x Combine like terms: -12 + 12 = 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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