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Simplifying -25(x + -4) = 55(x + -10) Reorder the terms: -25(-4 + x) = 55(x + -10) (-4 * -25 + x * -25) = 55(x + -10) (100 + -25x) = 55(x + -10) Reorder the terms: 100 + -25x = 55(-10 + x) 100 + -25x = (-10 * 55 + x * 55) 100 + -25x = (-550 + 55x) Solving 100 + -25x = -550 + 55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55x' to each side of the equation. 100 + -25x + -55x = -550 + 55x + -55x Combine like terms: -25x + -55x = -80x 100 + -80x = -550 + 55x + -55x Combine like terms: 55x + -55x = 0 100 + -80x = -550 + 0 100 + -80x = -550 Add '-100' to each side of the equation. 100 + -100 + -80x = -550 + -100 Combine like terms: 100 + -100 = 0 0 + -80x = -550 + -100 -80x = -550 + -100 Combine like terms: -550 + -100 = -650 -80x = -650 Divide each side by '-80'. x = 8.125 Simplifying x = 8.125
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