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Simplifying -4[2x + -7] + -1[-3x + -7] = 0 Reorder the terms: -4[-7 + 2x] + -1[-3x + -7] = 0 [-7 * -4 + 2x * -4] + -1[-3x + -7] = 0 [28 + -8x] + -1[-3x + -7] = 0 Reorder the terms: 28 + -8x + -1[-7 + -3x] = 0 28 + -8x + [-7 * -1 + -3x * -1] = 0 28 + -8x + [7 + 3x] = 0 Reorder the terms: 28 + 7 + -8x + 3x = 0 Combine like terms: 28 + 7 = 35 35 + -8x + 3x = 0 Combine like terms: -8x + 3x = -5x 35 + -5x = 0 Solving 35 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -5x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -5x = 0 + -35 -5x = 0 + -35 Combine like terms: 0 + -35 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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