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Simplifying 2(7x + 5) = 2(3x + 7) + 4(2x + -1) Reorder the terms: 2(5 + 7x) = 2(3x + 7) + 4(2x + -1) (5 * 2 + 7x * 2) = 2(3x + 7) + 4(2x + -1) (10 + 14x) = 2(3x + 7) + 4(2x + -1) Reorder the terms: 10 + 14x = 2(7 + 3x) + 4(2x + -1) 10 + 14x = (7 * 2 + 3x * 2) + 4(2x + -1) 10 + 14x = (14 + 6x) + 4(2x + -1) Reorder the terms: 10 + 14x = 14 + 6x + 4(-1 + 2x) 10 + 14x = 14 + 6x + (-1 * 4 + 2x * 4) 10 + 14x = 14 + 6x + (-4 + 8x) Reorder the terms: 10 + 14x = 14 + -4 + 6x + 8x Combine like terms: 14 + -4 = 10 10 + 14x = 10 + 6x + 8x Combine like terms: 6x + 8x = 14x 10 + 14x = 10 + 14x Add '-10' to each side of the equation. 10 + -10 + 14x = 10 + -10 + 14x Combine like terms: 10 + -10 = 0 0 + 14x = 10 + -10 + 14x 14x = 10 + -10 + 14x Combine like terms: 10 + -10 = 0 14x = 0 + 14x 14x = 14x Add '-14x' to each side of the equation. 14x + -14x = 14x + -14x Combine like terms: 14x + -14x = 0 0 = 14x + -14x Combine like terms: 14x + -14x = 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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