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Simplifying 2x + 3(x + -4) + 5 = 2x + -7 + 3x Reorder the terms: 2x + 3(-4 + x) + 5 = 2x + -7 + 3x 2x + (-4 * 3 + x * 3) + 5 = 2x + -7 + 3x 2x + (-12 + 3x) + 5 = 2x + -7 + 3x Reorder the terms: -12 + 5 + 2x + 3x = 2x + -7 + 3x Combine like terms: -12 + 5 = -7 -7 + 2x + 3x = 2x + -7 + 3x Combine like terms: 2x + 3x = 5x -7 + 5x = 2x + -7 + 3x Reorder the terms: -7 + 5x = -7 + 2x + 3x Combine like terms: 2x + 3x = 5x -7 + 5x = -7 + 5x Add '7' to each side of the equation. -7 + 7 + 5x = -7 + 7 + 5x Combine like terms: -7 + 7 = 0 0 + 5x = -7 + 7 + 5x 5x = -7 + 7 + 5x Combine like terms: -7 + 7 = 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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