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Simplifying 3(2x + -3) + -4(5x + -6) + -4x = 0 Reorder the terms: 3(-3 + 2x) + -4(5x + -6) + -4x = 0 (-3 * 3 + 2x * 3) + -4(5x + -6) + -4x = 0 (-9 + 6x) + -4(5x + -6) + -4x = 0 Reorder the terms: -9 + 6x + -4(-6 + 5x) + -4x = 0 -9 + 6x + (-6 * -4 + 5x * -4) + -4x = 0 -9 + 6x + (24 + -20x) + -4x = 0 Reorder the terms: -9 + 24 + 6x + -20x + -4x = 0 Combine like terms: -9 + 24 = 15 15 + 6x + -20x + -4x = 0 Combine like terms: 6x + -20x = -14x 15 + -14x + -4x = 0 Combine like terms: -14x + -4x = -18x 15 + -18x = 0 Solving 15 + -18x = 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 + -18x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -18x = 0 + -15 -18x = 0 + -15 Combine like terms: 0 + -15 = -15 -18x = -15 Divide each side by '-18'. x = 0.8333333333 Simplifying x = 0.8333333333
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