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Simplifying -7(2x + -7) + 5(3x + -2) + -4 = 3 + -7 Reorder the terms: -7(-7 + 2x) + 5(3x + -2) + -4 = 3 + -7 (-7 * -7 + 2x * -7) + 5(3x + -2) + -4 = 3 + -7 (49 + -14x) + 5(3x + -2) + -4 = 3 + -7 Reorder the terms: 49 + -14x + 5(-2 + 3x) + -4 = 3 + -7 49 + -14x + (-2 * 5 + 3x * 5) + -4 = 3 + -7 49 + -14x + (-10 + 15x) + -4 = 3 + -7 Reorder the terms: 49 + -10 + -4 + -14x + 15x = 3 + -7 Combine like terms: 49 + -10 = 39 39 + -4 + -14x + 15x = 3 + -7 Combine like terms: 39 + -4 = 35 35 + -14x + 15x = 3 + -7 Combine like terms: -14x + 15x = 1x 35 + 1x = 3 + -7 Combine like terms: 3 + -7 = -4 35 + 1x = -4 Solving 35 + 1x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 1x = -4 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = -4 + -35 1x = -4 + -35 Combine like terms: -4 + -35 = -39 1x = -39 Divide each side by '1'. x = -39 Simplifying x = -39
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