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Simplifying 2x + -2(2 + -3x) = 5(x + -6) + -25 2x + (2 * -2 + -3x * -2) = 5(x + -6) + -25 2x + (-4 + 6x) = 5(x + -6) + -25 Reorder the terms: -4 + 2x + 6x = 5(x + -6) + -25 Combine like terms: 2x + 6x = 8x -4 + 8x = 5(x + -6) + -25 Reorder the terms: -4 + 8x = 5(-6 + x) + -25 -4 + 8x = (-6 * 5 + x * 5) + -25 -4 + 8x = (-30 + 5x) + -25 Reorder the terms: -4 + 8x = -30 + -25 + 5x Combine like terms: -30 + -25 = -55 -4 + 8x = -55 + 5x Solving -4 + 8x = -55 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 8x + -5x = -55 + 5x + -5x Combine like terms: 8x + -5x = 3x -4 + 3x = -55 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 3x = -55 + 0 -4 + 3x = -55 Add '4' to each side of the equation. -4 + 4 + 3x = -55 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = -55 + 4 3x = -55 + 4 Combine like terms: -55 + 4 = -51 3x = -51 Divide each side by '3'. x = -17 Simplifying x = -17
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