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Simplifying 5(3x + -1) = -25(x + 1) Reorder the terms: 5(-1 + 3x) = -25(x + 1) (-1 * 5 + 3x * 5) = -25(x + 1) (-5 + 15x) = -25(x + 1) Reorder the terms: -5 + 15x = -25(1 + x) -5 + 15x = (1 * -25 + x * -25) -5 + 15x = (-25 + -25x) Solving -5 + 15x = -25 + -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. -5 + 15x + 25x = -25 + -25x + 25x Combine like terms: 15x + 25x = 40x -5 + 40x = -25 + -25x + 25x Combine like terms: -25x + 25x = 0 -5 + 40x = -25 + 0 -5 + 40x = -25 Add '5' to each side of the equation. -5 + 5 + 40x = -25 + 5 Combine like terms: -5 + 5 = 0 0 + 40x = -25 + 5 40x = -25 + 5 Combine like terms: -25 + 5 = -20 40x = -20 Divide each side by '40'. x = -0.5 Simplifying x = -0.5
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