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Simplifying 1.5(8x + -12) + 2(3x + 5) = 0 Reorder the terms: 1.5(-12 + 8x) + 2(3x + 5) = 0 (-12 * 1.5 + 8x * 1.5) + 2(3x + 5) = 0 (-18 + 12x) + 2(3x + 5) = 0 Reorder the terms: -18 + 12x + 2(5 + 3x) = 0 -18 + 12x + (5 * 2 + 3x * 2) = 0 -18 + 12x + (10 + 6x) = 0 Reorder the terms: -18 + 10 + 12x + 6x = 0 Combine like terms: -18 + 10 = -8 -8 + 12x + 6x = 0 Combine like terms: 12x + 6x = 18x -8 + 18x = 0 Solving -8 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 18x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 18x = 0 + 8 18x = 0 + 8 Combine like terms: 0 + 8 = 8 18x = 8 Divide each side by '18'. x = 0.4444444444 Simplifying x = 0.4444444444
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