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Simplifying 3x + -5(x + -5) = -7 + 4x + -10 Reorder the terms: 3x + -5(-5 + x) = -7 + 4x + -10 3x + (-5 * -5 + x * -5) = -7 + 4x + -10 3x + (25 + -5x) = -7 + 4x + -10 Reorder the terms: 25 + 3x + -5x = -7 + 4x + -10 Combine like terms: 3x + -5x = -2x 25 + -2x = -7 + 4x + -10 Reorder the terms: 25 + -2x = -7 + -10 + 4x Combine like terms: -7 + -10 = -17 25 + -2x = -17 + 4x Solving 25 + -2x = -17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 25 + -2x + -4x = -17 + 4x + -4x Combine like terms: -2x + -4x = -6x 25 + -6x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 25 + -6x = -17 + 0 25 + -6x = -17 Add '-25' to each side of the equation. 25 + -25 + -6x = -17 + -25 Combine like terms: 25 + -25 = 0 0 + -6x = -17 + -25 -6x = -17 + -25 Combine like terms: -17 + -25 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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