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