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Simplifying -7(2x + -1) + 5(3x + -2) + -7 = 4 + -9 Reorder the terms: -7(-1 + 2x) + 5(3x + -2) + -7 = 4 + -9 (-1 * -7 + 2x * -7) + 5(3x + -2) + -7 = 4 + -9 (7 + -14x) + 5(3x + -2) + -7 = 4 + -9 Reorder the terms: 7 + -14x + 5(-2 + 3x) + -7 = 4 + -9 7 + -14x + (-2 * 5 + 3x * 5) + -7 = 4 + -9 7 + -14x + (-10 + 15x) + -7 = 4 + -9 Reorder the terms: 7 + -10 + -7 + -14x + 15x = 4 + -9 Combine like terms: 7 + -10 = -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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