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Simplifying 6(x + 4) + -5[x + -1(2x + -3)] = 0 Reorder the terms: 6(4 + x) + -5[x + -1(2x + -3)] = 0 (4 * 6 + x * 6) + -5[x + -1(2x + -3)] = 0 (24 + 6x) + -5[x + -1(2x + -3)] = 0 Reorder the terms: 24 + 6x + -5[x + -1(-3 + 2x)] = 0 24 + 6x + -5[x + (-3 * -1 + 2x * -1)] = 0 24 + 6x + -5[x + (3 + -2x)] = 0 Reorder the terms: 24 + 6x + -5[3 + x + -2x] = 0 Combine like terms: x + -2x = -1x 24 + 6x + -5[3 + -1x] = 0 24 + 6x + [3 * -5 + -1x * -5] = 0 24 + 6x + [-15 + 5x] = 0 Reorder the terms: 24 + -15 + 6x + 5x = 0 Combine like terms: 24 + -15 = 9 9 + 6x + 5x = 0 Combine like terms: 6x + 5x = 11x 9 + 11x = 0 Solving 9 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 11x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 11x = 0 + -9 11x = 0 + -9 Combine like terms: 0 + -9 = -9 11x = -9 Divide each side by '11'. x = -0.8181818182 Simplifying x = -0.8181818182
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