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Simplifying 8(2x + -1) + 5(3x + -2) = 0 Reorder the terms: 8(-1 + 2x) + 5(3x + -2) = 0 (-1 * 8 + 2x * 8) + 5(3x + -2) = 0 (-8 + 16x) + 5(3x + -2) = 0 Reorder the terms: -8 + 16x + 5(-2 + 3x) = 0 -8 + 16x + (-2 * 5 + 3x * 5) = 0 -8 + 16x + (-10 + 15x) = 0 Reorder the terms: -8 + -10 + 16x + 15x = 0 Combine like terms: -8 + -10 = -18 -18 + 16x + 15x = 0 Combine like terms: 16x + 15x = 31x -18 + 31x = 0 Solving -18 + 31x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 31x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 31x = 0 + 18 31x = 0 + 18 Combine like terms: 0 + 18 = 18 31x = 18 Divide each side by '31'. x = 0.5806451613 Simplifying x = 0.5806451613
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