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Simplifying 2x + -5(x + -5) = -7 + 2x + 12 Reorder the terms: 2x + -5(-5 + x) = -7 + 2x + 12 2x + (-5 * -5 + x * -5) = -7 + 2x + 12 2x + (25 + -5x) = -7 + 2x + 12 Reorder the terms: 25 + 2x + -5x = -7 + 2x + 12 Combine like terms: 2x + -5x = -3x 25 + -3x = -7 + 2x + 12 Reorder the terms: 25 + -3x = -7 + 12 + 2x Combine like terms: -7 + 12 = 5 25 + -3x = 5 + 2x Solving 25 + -3x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 25 + -3x + -2x = 5 + 2x + -2x Combine like terms: -3x + -2x = -5x 25 + -5x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 25 + -5x = 5 + 0 25 + -5x = 5 Add '-25' to each side of the equation. 25 + -25 + -5x = 5 + -25 Combine like terms: 25 + -25 = 0 0 + -5x = 5 + -25 -5x = 5 + -25 Combine like terms: 5 + -25 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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