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Simplifying -7(2x + -3) + 5(3x + -2) + -6 = 5 + -7 Reorder the terms: -7(-3 + 2x) + 5(3x + -2) + -6 = 5 + -7 (-3 * -7 + 2x * -7) + 5(3x + -2) + -6 = 5 + -7 (21 + -14x) + 5(3x + -2) + -6 = 5 + -7 Reorder the terms: 21 + -14x + 5(-2 + 3x) + -6 = 5 + -7 21 + -14x + (-2 * 5 + 3x * 5) + -6 = 5 + -7 21 + -14x + (-10 + 15x) + -6 = 5 + -7 Reorder the terms: 21 + -10 + -6 + -14x + 15x = 5 + -7 Combine like terms: 21 + -10 = 11 11 + -6 + -14x + 15x = 5 + -7 Combine like terms: 11 + -6 = 5 5 + -14x + 15x = 5 + -7 Combine like terms: -14x + 15x = 1x 5 + 1x = 5 + -7 Combine like terms: 5 + -7 = -2 5 + 1x = -2 Solving 5 + 1x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1x = -2 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -2 + -5 1x = -2 + -5 Combine like terms: -2 + -5 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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