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Simplifying 5(2x + -7) = 7(5x + -3) Reorder the terms: 5(-7 + 2x) = 7(5x + -3) (-7 * 5 + 2x * 5) = 7(5x + -3) (-35 + 10x) = 7(5x + -3) Reorder the terms: -35 + 10x = 7(-3 + 5x) -35 + 10x = (-3 * 7 + 5x * 7) -35 + 10x = (-21 + 35x) Solving -35 + 10x = -21 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -35 + 10x + -35x = -21 + 35x + -35x Combine like terms: 10x + -35x = -25x -35 + -25x = -21 + 35x + -35x Combine like terms: 35x + -35x = 0 -35 + -25x = -21 + 0 -35 + -25x = -21 Add '35' to each side of the equation. -35 + 35 + -25x = -21 + 35 Combine like terms: -35 + 35 = 0 0 + -25x = -21 + 35 -25x = -21 + 35 Combine like terms: -21 + 35 = 14 -25x = 14 Divide each side by '-25'. x = -0.56 Simplifying x = -0.56
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