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Simplifying 6(x + -2) + 15(x + 14) = 0 Reorder the terms: 6(-2 + x) + 15(x + 14) = 0 (-2 * 6 + x * 6) + 15(x + 14) = 0 (-12 + 6x) + 15(x + 14) = 0 Reorder the terms: -12 + 6x + 15(14 + x) = 0 -12 + 6x + (14 * 15 + x * 15) = 0 -12 + 6x + (210 + 15x) = 0 Reorder the terms: -12 + 210 + 6x + 15x = 0 Combine like terms: -12 + 210 = 198 198 + 6x + 15x = 0 Combine like terms: 6x + 15x = 21x 198 + 21x = 0 Solving 198 + 21x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-198' to each side of the equation. 198 + -198 + 21x = 0 + -198 Combine like terms: 198 + -198 = 0 0 + 21x = 0 + -198 21x = 0 + -198 Combine like terms: 0 + -198 = -198 21x = -198 Divide each side by '21'. x = -9.428571429 Simplifying x = -9.428571429
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