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Simplifying 3(2x + 5) + -4(x + -1) = 0 Reorder the terms: 3(5 + 2x) + -4(x + -1) = 0 (5 * 3 + 2x * 3) + -4(x + -1) = 0 (15 + 6x) + -4(x + -1) = 0 Reorder the terms: 15 + 6x + -4(-1 + x) = 0 15 + 6x + (-1 * -4 + x * -4) = 0 15 + 6x + (4 + -4x) = 0 Reorder the terms: 15 + 4 + 6x + -4x = 0 Combine like terms: 15 + 4 = 19 19 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x 19 + 2x = 0 Solving 19 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 2x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 2x = 0 + -19 2x = 0 + -19 Combine like terms: 0 + -19 = -19 2x = -19 Divide each side by '2'. x = -9.5 Simplifying x = -9.5
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