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Simplifying -6(5x + 1) + 3(2x + 4) = 0 Reorder the terms: -6(1 + 5x) + 3(2x + 4) = 0 (1 * -6 + 5x * -6) + 3(2x + 4) = 0 (-6 + -30x) + 3(2x + 4) = 0 Reorder the terms: -6 + -30x + 3(4 + 2x) = 0 -6 + -30x + (4 * 3 + 2x * 3) = 0 -6 + -30x + (12 + 6x) = 0 Reorder the terms: -6 + 12 + -30x + 6x = 0 Combine like terms: -6 + 12 = 6 6 + -30x + 6x = 0 Combine like terms: -30x + 6x = -24x 6 + -24x = 0 Solving 6 + -24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -24x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -24x = 0 + -6 -24x = 0 + -6 Combine like terms: 0 + -6 = -6 -24x = -6 Divide each side by '-24'. x = 0.25 Simplifying x = 0.25
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