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Simplifying 5(3x + 2) + -1(8x + -4) = 16 + -3 Reorder the terms: 5(2 + 3x) + -1(8x + -4) = 16 + -3 (2 * 5 + 3x * 5) + -1(8x + -4) = 16 + -3 (10 + 15x) + -1(8x + -4) = 16 + -3 Reorder the terms: 10 + 15x + -1(-4 + 8x) = 16 + -3 10 + 15x + (-4 * -1 + 8x * -1) = 16 + -3 10 + 15x + (4 + -8x) = 16 + -3 Reorder the terms: 10 + 4 + 15x + -8x = 16 + -3 Combine like terms: 10 + 4 = 14 14 + 15x + -8x = 16 + -3 Combine like terms: 15x + -8x = 7x 14 + 7x = 16 + -3 Combine like terms: 16 + -3 = 13 14 + 7x = 13 Solving 14 + 7x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 7x = 13 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 13 + -14 7x = 13 + -14 Combine like terms: 13 + -14 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429
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