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Simplifying 4(3 + -2x) + 3(1 + -5x) = 0 (3 * 4 + -2x * 4) + 3(1 + -5x) = 0 (12 + -8x) + 3(1 + -5x) = 0 12 + -8x + (1 * 3 + -5x * 3) = 0 12 + -8x + (3 + -15x) = 0 Reorder the terms: 12 + 3 + -8x + -15x = 0 Combine like terms: 12 + 3 = 15 15 + -8x + -15x = 0 Combine like terms: -8x + -15x = -23x 15 + -23x = 0 Solving 15 + -23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -23x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -23x = 0 + -15 -23x = 0 + -15 Combine like terms: 0 + -15 = -15 -23x = -15 Divide each side by '-23'. x = 0.652173913 Simplifying x = 0.652173913
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