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Simplifying 2x + -5(x + 5) = 3x + -7 Reorder the terms: 2x + -5(5 + x) = 3x + -7 2x + (5 * -5 + x * -5) = 3x + -7 2x + (-25 + -5x) = 3x + -7 Reorder the terms: -25 + 2x + -5x = 3x + -7 Combine like terms: 2x + -5x = -3x -25 + -3x = 3x + -7 Reorder the terms: -25 + -3x = -7 + 3x Solving -25 + -3x = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -25 + -3x + -3x = -7 + 3x + -3x Combine like terms: -3x + -3x = -6x -25 + -6x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -25 + -6x = -7 + 0 -25 + -6x = -7 Add '25' to each side of the equation. -25 + 25 + -6x = -7 + 25 Combine like terms: -25 + 25 = 0 0 + -6x = -7 + 25 -6x = -7 + 25 Combine like terms: -7 + 25 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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