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Simplifying 3(x + -7) + 2x = 5(x + 4) + -41 Reorder the terms: 3(-7 + x) + 2x = 5(x + 4) + -41 (-7 * 3 + x * 3) + 2x = 5(x + 4) + -41 (-21 + 3x) + 2x = 5(x + 4) + -41 Combine like terms: 3x + 2x = 5x -21 + 5x = 5(x + 4) + -41 Reorder the terms: -21 + 5x = 5(4 + x) + -41 -21 + 5x = (4 * 5 + x * 5) + -41 -21 + 5x = (20 + 5x) + -41 Reorder the terms: -21 + 5x = 20 + -41 + 5x Combine like terms: 20 + -41 = -21 -21 + 5x = -21 + 5x Add '21' to each side of the equation. -21 + 21 + 5x = -21 + 21 + 5x Combine like terms: -21 + 21 = 0 0 + 5x = -21 + 21 + 5x 5x = -21 + 21 + 5x Combine like terms: -21 + 21 = 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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