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Simplifying -2(7x + -6) + 3(5x + -5) + -7 = 4 + -9 Reorder the terms: -2(-6 + 7x) + 3(5x + -5) + -7 = 4 + -9 (-6 * -2 + 7x * -2) + 3(5x + -5) + -7 = 4 + -9 (12 + -14x) + 3(5x + -5) + -7 = 4 + -9 Reorder the terms: 12 + -14x + 3(-5 + 5x) + -7 = 4 + -9 12 + -14x + (-5 * 3 + 5x * 3) + -7 = 4 + -9 12 + -14x + (-15 + 15x) + -7 = 4 + -9 Reorder the terms: 12 + -15 + -7 + -14x + 15x = 4 + -9 Combine like terms: 12 + -15 = -3 -3 + -7 + -14x + 15x = 4 + -9 Combine like terms: -3 + -7 = -10 -10 + -14x + 15x = 4 + -9 Combine like terms: -14x + 15x = 1x -10 + 1x = 4 + -9 Combine like terms: 4 + -9 = -5 -10 + 1x = -5 Solving -10 + 1x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 1x = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -5 + 10 1x = -5 + 10 Combine like terms: -5 + 10 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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