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Simplifying -2(x + -5) + 7x = 3x + -4 Reorder the terms: -2(-5 + x) + 7x = 3x + -4 (-5 * -2 + x * -2) + 7x = 3x + -4 (10 + -2x) + 7x = 3x + -4 Combine like terms: -2x + 7x = 5x 10 + 5x = 3x + -4 Reorder the terms: 10 + 5x = -4 + 3x Solving 10 + 5x = -4 + 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. 10 + 5x + -3x = -4 + 3x + -3x Combine like terms: 5x + -3x = 2x 10 + 2x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 2x = -4 + 0 10 + 2x = -4 Add '-10' to each side of the equation. 10 + -10 + 2x = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = -4 + -10 2x = -4 + -10 Combine like terms: -4 + -10 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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