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Simplifying 5.0(x + -7.0) = -25(x + -10.0) Reorder the terms: 5.0(-7.0 + x) = -25(x + -10.0) (-7.0 * 5.0 + x * 5.0) = -25(x + -10.0) (-35 + 5.0x) = -25(x + -10.0) Reorder the terms: -35 + 5.0x = -25(-10.0 + x) -35 + 5.0x = (-10.0 * -25 + x * -25) -35 + 5.0x = (250 + -25x) Solving -35 + 5.0x = 250 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. -35 + 5.0x + 25x = 250 + -25x + 25x Combine like terms: 5.0x + 25x = 30x -35 + 30x = 250 + -25x + 25x Combine like terms: -25x + 25x = 0 -35 + 30x = 250 + 0 -35 + 30x = 250 Add '35' to each side of the equation. -35 + 35 + 30x = 250 + 35 Combine like terms: -35 + 35 = 0 0 + 30x = 250 + 35 30x = 250 + 35 Combine like terms: 250 + 35 = 285 30x = 285 Divide each side by '30'. x = 9.5 Simplifying x = 9.5
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