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Simplifying 4(x + 3) + -9(3x + -10) = 0 Reorder the terms: 4(3 + x) + -9(3x + -10) = 0 (3 * 4 + x * 4) + -9(3x + -10) = 0 (12 + 4x) + -9(3x + -10) = 0 Reorder the terms: 12 + 4x + -9(-10 + 3x) = 0 12 + 4x + (-10 * -9 + 3x * -9) = 0 12 + 4x + (90 + -27x) = 0 Reorder the terms: 12 + 90 + 4x + -27x = 0 Combine like terms: 12 + 90 = 102 102 + 4x + -27x = 0 Combine like terms: 4x + -27x = -23x 102 + -23x = 0 Solving 102 + -23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-102' to each side of the equation. 102 + -102 + -23x = 0 + -102 Combine like terms: 102 + -102 = 0 0 + -23x = 0 + -102 -23x = 0 + -102 Combine like terms: 0 + -102 = -102 -23x = -102 Divide each side by '-23'. x = 4.434782609 Simplifying x = 4.434782609
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