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Simplifying 4x + -5 = 6x + -1(25 + -2x) Reorder the terms: -5 + 4x = 6x + -1(25 + -2x) -5 + 4x = 6x + (25 * -1 + -2x * -1) -5 + 4x = 6x + (-25 + 2x) Reorder the terms: -5 + 4x = -25 + 6x + 2x Combine like terms: 6x + 2x = 8x -5 + 4x = -25 + 8x Solving -5 + 4x = -25 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 4x + -8x = -25 + 8x + -8x Combine like terms: 4x + -8x = -4x -5 + -4x = -25 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -4x = -25 + 0 -5 + -4x = -25 Add '5' to each side of the equation. -5 + 5 + -4x = -25 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = -25 + 5 -4x = -25 + 5 Combine like terms: -25 + 5 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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