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Simplifying 2(4x + 3) + -5(x + -2) = 8 Reorder the terms: 2(3 + 4x) + -5(x + -2) = 8 (3 * 2 + 4x * 2) + -5(x + -2) = 8 (6 + 8x) + -5(x + -2) = 8 Reorder the terms: 6 + 8x + -5(-2 + x) = 8 6 + 8x + (-2 * -5 + x * -5) = 8 6 + 8x + (10 + -5x) = 8 Reorder the terms: 6 + 10 + 8x + -5x = 8 Combine like terms: 6 + 10 = 16 16 + 8x + -5x = 8 Combine like terms: 8x + -5x = 3x 16 + 3x = 8 Solving 16 + 3x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 3x = 8 + -16 Combine like terms: 16 + -16 = 0 0 + 3x = 8 + -16 3x = 8 + -16 Combine like terms: 8 + -16 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667
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