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Simplifying 8(x + -2) + 15(x + 12) = 0 Reorder the terms: 8(-2 + x) + 15(x + 12) = 0 (-2 * 8 + x * 8) + 15(x + 12) = 0 (-16 + 8x) + 15(x + 12) = 0 Reorder the terms: -16 + 8x + 15(12 + x) = 0 -16 + 8x + (12 * 15 + x * 15) = 0 -16 + 8x + (180 + 15x) = 0 Reorder the terms: -16 + 180 + 8x + 15x = 0 Combine like terms: -16 + 180 = 164 164 + 8x + 15x = 0 Combine like terms: 8x + 15x = 23x 164 + 23x = 0 Solving 164 + 23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-164' to each side of the equation. 164 + -164 + 23x = 0 + -164 Combine like terms: 164 + -164 = 0 0 + 23x = 0 + -164 23x = 0 + -164 Combine like terms: 0 + -164 = -164 23x = -164 Divide each side by '23'. x = -7.130434783 Simplifying x = -7.130434783
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