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Simplifying 3x + -5(x + -5) = -4 + 5x + -27 Reorder the terms: 3x + -5(-5 + x) = -4 + 5x + -27 3x + (-5 * -5 + x * -5) = -4 + 5x + -27 3x + (25 + -5x) = -4 + 5x + -27 Reorder the terms: 25 + 3x + -5x = -4 + 5x + -27 Combine like terms: 3x + -5x = -2x 25 + -2x = -4 + 5x + -27 Reorder the terms: 25 + -2x = -4 + -27 + 5x Combine like terms: -4 + -27 = -31 25 + -2x = -31 + 5x Solving 25 + -2x = -31 + 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. 25 + -2x + -5x = -31 + 5x + -5x Combine like terms: -2x + -5x = -7x 25 + -7x = -31 + 5x + -5x Combine like terms: 5x + -5x = 0 25 + -7x = -31 + 0 25 + -7x = -31 Add '-25' to each side of the equation. 25 + -25 + -7x = -31 + -25 Combine like terms: 25 + -25 = 0 0 + -7x = -31 + -25 -7x = -31 + -25 Combine like terms: -31 + -25 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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