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Simplifying 5(x + -4) + 10 = 7x + -1(2x + 7) + -3 Reorder the terms: 5(-4 + x) + 10 = 7x + -1(2x + 7) + -3 (-4 * 5 + x * 5) + 10 = 7x + -1(2x + 7) + -3 (-20 + 5x) + 10 = 7x + -1(2x + 7) + -3 Reorder the terms: -20 + 10 + 5x = 7x + -1(2x + 7) + -3 Combine like terms: -20 + 10 = -10 -10 + 5x = 7x + -1(2x + 7) + -3 Reorder the terms: -10 + 5x = 7x + -1(7 + 2x) + -3 -10 + 5x = 7x + (7 * -1 + 2x * -1) + -3 -10 + 5x = 7x + (-7 + -2x) + -3 Reorder the terms: -10 + 5x = -7 + -3 + 7x + -2x Combine like terms: -7 + -3 = -10 -10 + 5x = -10 + 7x + -2x Combine like terms: 7x + -2x = 5x -10 + 5x = -10 + 5x Add '10' to each side of the equation. -10 + 10 + 5x = -10 + 10 + 5x Combine like terms: -10 + 10 = 0 0 + 5x = -10 + 10 + 5x 5x = -10 + 10 + 5x Combine like terms: -10 + 10 = 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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