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Simplifying 5x + -25 = 3(x + -1) + -1(2x + -1) Reorder the terms: -25 + 5x = 3(x + -1) + -1(2x + -1) Reorder the terms: -25 + 5x = 3(-1 + x) + -1(2x + -1) -25 + 5x = (-1 * 3 + x * 3) + -1(2x + -1) -25 + 5x = (-3 + 3x) + -1(2x + -1) Reorder the terms: -25 + 5x = -3 + 3x + -1(-1 + 2x) -25 + 5x = -3 + 3x + (-1 * -1 + 2x * -1) -25 + 5x = -3 + 3x + (1 + -2x) Reorder the terms: -25 + 5x = -3 + 1 + 3x + -2x Combine like terms: -3 + 1 = -2 -25 + 5x = -2 + 3x + -2x Combine like terms: 3x + -2x = 1x -25 + 5x = -2 + 1x Solving -25 + 5x = -2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -25 + 5x + -1x = -2 + 1x + -1x Combine like terms: 5x + -1x = 4x -25 + 4x = -2 + 1x + -1x Combine like terms: 1x + -1x = 0 -25 + 4x = -2 + 0 -25 + 4x = -2 Add '25' to each side of the equation. -25 + 25 + 4x = -2 + 25 Combine like terms: -25 + 25 = 0 0 + 4x = -2 + 25 4x = -2 + 25 Combine like terms: -2 + 25 = 23 4x = 23 Divide each side by '4'. x = 5.75 Simplifying x = 5.75
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