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Simplifying 6(x + -6) + 15(x + 14) = 0 Reorder the terms: 6(-6 + x) + 15(x + 14) = 0 (-6 * 6 + x * 6) + 15(x + 14) = 0 (-36 + 6x) + 15(x + 14) = 0 Reorder the terms: -36 + 6x + 15(14 + x) = 0 -36 + 6x + (14 * 15 + x * 15) = 0 -36 + 6x + (210 + 15x) = 0 Reorder the terms: -36 + 210 + 6x + 15x = 0 Combine like terms: -36 + 210 = 174 174 + 6x + 15x = 0 Combine like terms: 6x + 15x = 21x 174 + 21x = 0 Solving 174 + 21x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-174' to each side of the equation. 174 + -174 + 21x = 0 + -174 Combine like terms: 174 + -174 = 0 0 + 21x = 0 + -174 21x = 0 + -174 Combine like terms: 0 + -174 = -174 21x = -174 Divide each side by '21'. x = -8.285714286 Simplifying x = -8.285714286
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