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Simplifying 5(2x + -3) + 7(2 + -1x) = 3(x + 2) + -7 Reorder the terms: 5(-3 + 2x) + 7(2 + -1x) = 3(x + 2) + -7 (-3 * 5 + 2x * 5) + 7(2 + -1x) = 3(x + 2) + -7 (-15 + 10x) + 7(2 + -1x) = 3(x + 2) + -7 -15 + 10x + (2 * 7 + -1x * 7) = 3(x + 2) + -7 -15 + 10x + (14 + -7x) = 3(x + 2) + -7 Reorder the terms: -15 + 14 + 10x + -7x = 3(x + 2) + -7 Combine like terms: -15 + 14 = -1 -1 + 10x + -7x = 3(x + 2) + -7 Combine like terms: 10x + -7x = 3x -1 + 3x = 3(x + 2) + -7 Reorder the terms: -1 + 3x = 3(2 + x) + -7 -1 + 3x = (2 * 3 + x * 3) + -7 -1 + 3x = (6 + 3x) + -7 Reorder the terms: -1 + 3x = 6 + -7 + 3x Combine like terms: 6 + -7 = -1 -1 + 3x = -1 + 3x Add '1' to each side of the equation. -1 + 1 + 3x = -1 + 1 + 3x Combine like terms: -1 + 1 = 0 0 + 3x = -1 + 1 + 3x 3x = -1 + 1 + 3x Combine like terms: -1 + 1 = 0 3x = 0 + 3x 3x = 3x Add '-3x' to each side of the equation. 3x + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 0 = 3x + -3x Combine like terms: 3x + -3x = 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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