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Simplifying 5(3x + 2) + -1(7 + -4x) = 0 Reorder the terms: 5(2 + 3x) + -1(7 + -4x) = 0 (2 * 5 + 3x * 5) + -1(7 + -4x) = 0 (10 + 15x) + -1(7 + -4x) = 0 10 + 15x + (7 * -1 + -4x * -1) = 0 10 + 15x + (-7 + 4x) = 0 Reorder the terms: 10 + -7 + 15x + 4x = 0 Combine like terms: 10 + -7 = 3 3 + 15x + 4x = 0 Combine like terms: 15x + 4x = 19x 3 + 19x = 0 Solving 3 + 19x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 19x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 19x = 0 + -3 19x = 0 + -3 Combine like terms: 0 + -3 = -3 19x = -3 Divide each side by '19'. x = -0.1578947368 Simplifying x = -0.1578947368
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