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