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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 = 29x -5 + 29x = 0 Solving -5 + 29x = 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 + 29x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 29x = 0 + 5 29x = 0 + 5 Combine like terms: 0 + 5 = 5 29x = 5 Divide each side by '29'. x = 0.1724137931 Simplifying x = 0.1724137931
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