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Simplifying 5(4x + 1) + -3(6x + 1.5) = 0 Reorder the terms: 5(1 + 4x) + -3(6x + 1.5) = 0 (1 * 5 + 4x * 5) + -3(6x + 1.5) = 0 (5 + 20x) + -3(6x + 1.5) = 0 Reorder the terms: 5 + 20x + -3(1.5 + 6x) = 0 5 + 20x + (1.5 * -3 + 6x * -3) = 0 5 + 20x + (-4.5 + -18x) = 0 Reorder the terms: 5 + -4.5 + 20x + -18x = 0 Combine like terms: 5 + -4.5 = 0.5 0.5 + 20x + -18x = 0 Combine like terms: 20x + -18x = 2x 0.5 + 2x = 0 Solving 0.5 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + 2x = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 2x = 0 + -0.5 2x = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 2x = -0.5 Divide each side by '2'. x = -0.25 Simplifying x = -0.25
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