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Simplifying 7(3x + -7) = 5(-2x + 5) Reorder the terms: 7(-7 + 3x) = 5(-2x + 5) (-7 * 7 + 3x * 7) = 5(-2x + 5) (-49 + 21x) = 5(-2x + 5) Reorder the terms: -49 + 21x = 5(5 + -2x) -49 + 21x = (5 * 5 + -2x * 5) -49 + 21x = (25 + -10x) Solving -49 + 21x = 25 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -49 + 21x + 10x = 25 + -10x + 10x Combine like terms: 21x + 10x = 31x -49 + 31x = 25 + -10x + 10x Combine like terms: -10x + 10x = 0 -49 + 31x = 25 + 0 -49 + 31x = 25 Add '49' to each side of the equation. -49 + 49 + 31x = 25 + 49 Combine like terms: -49 + 49 = 0 0 + 31x = 25 + 49 31x = 25 + 49 Combine like terms: 25 + 49 = 74 31x = 74 Divide each side by '31'. x = 2.387096774 Simplifying x = 2.387096774
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