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Simplifying 3(5x + 1) + 7(x + -2) = 0 Reorder the terms: 3(1 + 5x) + 7(x + -2) = 0 (1 * 3 + 5x * 3) + 7(x + -2) = 0 (3 + 15x) + 7(x + -2) = 0 Reorder the terms: 3 + 15x + 7(-2 + x) = 0 3 + 15x + (-2 * 7 + x * 7) = 0 3 + 15x + (-14 + 7x) = 0 Reorder the terms: 3 + -14 + 15x + 7x = 0 Combine like terms: 3 + -14 = -11 -11 + 15x + 7x = 0 Combine like terms: 15x + 7x = 22x -11 + 22x = 0 Solving -11 + 22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 22x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 22x = 0 + 11 22x = 0 + 11 Combine like terms: 0 + 11 = 11 22x = 11 Divide each side by '22'. x = 0.5 Simplifying x = 0.5
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