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Simplifying 5x + -8 = 2x + 4 + 3(x + -4) Reorder the terms: -8 + 5x = 2x + 4 + 3(x + -4) Reorder the terms: -8 + 5x = 2x + 4 + 3(-4 + x) -8 + 5x = 2x + 4 + (-4 * 3 + x * 3) -8 + 5x = 2x + 4 + (-12 + 3x) Reorder the terms: -8 + 5x = 4 + -12 + 2x + 3x Combine like terms: 4 + -12 = -8 -8 + 5x = -8 + 2x + 3x Combine like terms: 2x + 3x = 5x -8 + 5x = -8 + 5x Add '8' to each side of the equation. -8 + 8 + 5x = -8 + 8 + 5x Combine like terms: -8 + 8 = 0 0 + 5x = -8 + 8 + 5x 5x = -8 + 8 + 5x Combine like terms: -8 + 8 = 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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