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Simplifying 2(3x + 4) + -1(x + -8) = 3(4x + 2) + -7x + 10 Reorder the terms: 2(4 + 3x) + -1(x + -8) = 3(4x + 2) + -7x + 10 (4 * 2 + 3x * 2) + -1(x + -8) = 3(4x + 2) + -7x + 10 (8 + 6x) + -1(x + -8) = 3(4x + 2) + -7x + 10 Reorder the terms: 8 + 6x + -1(-8 + x) = 3(4x + 2) + -7x + 10 8 + 6x + (-8 * -1 + x * -1) = 3(4x + 2) + -7x + 10 8 + 6x + (8 + -1x) = 3(4x + 2) + -7x + 10 Reorder the terms: 8 + 8 + 6x + -1x = 3(4x + 2) + -7x + 10 Combine like terms: 8 + 8 = 16 16 + 6x + -1x = 3(4x + 2) + -7x + 10 Combine like terms: 6x + -1x = 5x 16 + 5x = 3(4x + 2) + -7x + 10 Reorder the terms: 16 + 5x = 3(2 + 4x) + -7x + 10 16 + 5x = (2 * 3 + 4x * 3) + -7x + 10 16 + 5x = (6 + 12x) + -7x + 10 Reorder the terms: 16 + 5x = 6 + 10 + 12x + -7x Combine like terms: 6 + 10 = 16 16 + 5x = 16 + 12x + -7x Combine like terms: 12x + -7x = 5x 16 + 5x = 16 + 5x Add '-16' to each side of the equation. 16 + -16 + 5x = 16 + -16 + 5x Combine like terms: 16 + -16 = 0 0 + 5x = 16 + -16 + 5x 5x = 16 + -16 + 5x Combine like terms: 16 + -16 = 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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