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Simplifying -7(2x + -5) + 5(3x + -4) + -4 = 5 + -4 Reorder the terms: -7(-5 + 2x) + 5(3x + -4) + -4 = 5 + -4 (-5 * -7 + 2x * -7) + 5(3x + -4) + -4 = 5 + -4 (35 + -14x) + 5(3x + -4) + -4 = 5 + -4 Reorder the terms: 35 + -14x + 5(-4 + 3x) + -4 = 5 + -4 35 + -14x + (-4 * 5 + 3x * 5) + -4 = 5 + -4 35 + -14x + (-20 + 15x) + -4 = 5 + -4 Reorder the terms: 35 + -20 + -4 + -14x + 15x = 5 + -4 Combine like terms: 35 + -20 = 15 15 + -4 + -14x + 15x = 5 + -4 Combine like terms: 15 + -4 = 11 11 + -14x + 15x = 5 + -4 Combine like terms: -14x + 15x = 1x 11 + 1x = 5 + -4 Combine like terms: 5 + -4 = 1 11 + 1x = 1 Solving 11 + 1x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 1x = 1 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 1 + -11 1x = 1 + -11 Combine like terms: 1 + -11 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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