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Simplifying -7(2x + -4) + 5(3x + -4) + -2 = 4 + -5 Reorder the terms: -7(-4 + 2x) + 5(3x + -4) + -2 = 4 + -5 (-4 * -7 + 2x * -7) + 5(3x + -4) + -2 = 4 + -5 (28 + -14x) + 5(3x + -4) + -2 = 4 + -5 Reorder the terms: 28 + -14x + 5(-4 + 3x) + -2 = 4 + -5 28 + -14x + (-4 * 5 + 3x * 5) + -2 = 4 + -5 28 + -14x + (-20 + 15x) + -2 = 4 + -5 Reorder the terms: 28 + -20 + -2 + -14x + 15x = 4 + -5 Combine like terms: 28 + -20 = 8 8 + -2 + -14x + 15x = 4 + -5 Combine like terms: 8 + -2 = 6 6 + -14x + 15x = 4 + -5 Combine like terms: -14x + 15x = 1x 6 + 1x = 4 + -5 Combine like terms: 4 + -5 = -1 6 + 1x = -1 Solving 6 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 1x = -1 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = -1 + -6 1x = -1 + -6 Combine like terms: -1 + -6 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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