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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 = 18 18 + -12x + -8x + 6x = 0 Combine like terms: -12x + -8x = -20x 18 + -20x + 6x = 0 Combine like terms: -20x + 6x = -14x 18 + -14x = 0 Solving 18 + -14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -14x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -14x = 0 + -18 -14x = 0 + -18 Combine like terms: 0 + -18 = -18 -14x = -18 Divide each side by '-14'. x = 1.285714286 Simplifying x = 1.285714286
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