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Simplifying 5(x + 4) + 6(x + -2) = 0 Reorder the terms: 5(4 + x) + 6(x + -2) = 0 (4 * 5 + x * 5) + 6(x + -2) = 0 (20 + 5x) + 6(x + -2) = 0 Reorder the terms: 20 + 5x + 6(-2 + x) = 0 20 + 5x + (-2 * 6 + x * 6) = 0 20 + 5x + (-12 + 6x) = 0 Reorder the terms: 20 + -12 + 5x + 6x = 0 Combine like terms: 20 + -12 = 8 8 + 5x + 6x = 0 Combine like terms: 5x + 6x = 11x 8 + 11x = 0 Solving 8 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 11x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = 0 + -8 11x = 0 + -8 Combine like terms: 0 + -8 = -8 11x = -8 Divide each side by '11'. x = -0.7272727273 Simplifying x = -0.7272727273
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