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Simplifying 6(5 + -2x) + -4(2x + -3) + 6x = 0 (5 * 6 + -2x * 6) + -4(2x + -3) + 6x = 0 (30 + -12x) + -4(2x + -3) + 6x = 0 Reorder the terms: 30 + -12x + -4(-3 + 2x) + 6x = 0 30 + -12x + (-3 * -4 + 2x * -4) + 6x = 0 30 + -12x + (12 + -8x) + 6x = 0 Reorder the terms: 30 + 12 + -12x + -8x + 6x = 0 Combine like terms: 30 + 12 = 42 42 + -12x + -8x + 6x = 0 Combine like terms: -12x + -8x = -20x 42 + -20x + 6x = 0 Combine like terms: -20x + 6x = -14x 42 + -14x = 0 Solving 42 + -14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -14x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -14x = 0 + -42 -14x = 0 + -42 Combine like terms: 0 + -42 = -42 -14x = -42 Divide each side by '-14'. x = 3 Simplifying x = 3
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