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