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Simplifying -7(2x + 1) + 3(5x + 4) = 0 Reorder the terms: -7(1 + 2x) + 3(5x + 4) = 0 (1 * -7 + 2x * -7) + 3(5x + 4) = 0 (-7 + -14x) + 3(5x + 4) = 0 Reorder the terms: -7 + -14x + 3(4 + 5x) = 0 -7 + -14x + (4 * 3 + 5x * 3) = 0 -7 + -14x + (12 + 15x) = 0 Reorder the terms: -7 + 12 + -14x + 15x = 0 Combine like terms: -7 + 12 = 5 5 + -14x + 15x = 0 Combine like terms: -14x + 15x = 1x 5 + 1x = 0 Solving 5 + 1x = 0 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 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 0 + -5 1x = 0 + -5 Combine like terms: 0 + -5 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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