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Simplifying 3x + 2(x + 7) = 10x + 6 + -3x + -2(x + -4) Reorder the terms: 3x + 2(7 + x) = 10x + 6 + -3x + -2(x + -4) 3x + (7 * 2 + x * 2) = 10x + 6 + -3x + -2(x + -4) 3x + (14 + 2x) = 10x + 6 + -3x + -2(x + -4) Reorder the terms: 14 + 3x + 2x = 10x + 6 + -3x + -2(x + -4) Combine like terms: 3x + 2x = 5x 14 + 5x = 10x + 6 + -3x + -2(x + -4) Reorder the terms: 14 + 5x = 10x + 6 + -3x + -2(-4 + x) 14 + 5x = 10x + 6 + -3x + (-4 * -2 + x * -2) 14 + 5x = 10x + 6 + -3x + (8 + -2x) Reorder the terms: 14 + 5x = 6 + 8 + 10x + -3x + -2x Combine like terms: 6 + 8 = 14 14 + 5x = 14 + 10x + -3x + -2x Combine like terms: 10x + -3x = 7x 14 + 5x = 14 + 7x + -2x Combine like terms: 7x + -2x = 5x 14 + 5x = 14 + 5x Add '-14' to each side of the equation. 14 + -14 + 5x = 14 + -14 + 5x Combine like terms: 14 + -14 = 0 0 + 5x = 14 + -14 + 5x 5x = 14 + -14 + 5x Combine like terms: 14 + -14 = 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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