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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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