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Simplifying 4[5(x + -3) + 4] + -3[2(x + 5) + -81] = 0 Reorder the terms: 4[5(-3 + x) + 4] + -3[2(x + 5) + -81] = 0 4[(-3 * 5 + x * 5) + 4] + -3[2(x + 5) + -81] = 0 4[(-15 + 5x) + 4] + -3[2(x + 5) + -81] = 0 Reorder the terms: 4[-15 + 4 + 5x] + -3[2(x + 5) + -81] = 0 Combine like terms: -15 + 4 = -11 4[-11 + 5x] + -3[2(x + 5) + -81] = 0 [-11 * 4 + 5x * 4] + -3[2(x + 5) + -81] = 0 [-44 + 20x] + -3[2(x + 5) + -81] = 0 Reorder the terms: -44 + 20x + -3[2(5 + x) + -81] = 0 -44 + 20x + -3[(5 * 2 + x * 2) + -81] = 0 -44 + 20x + -3[(10 + 2x) + -81] = 0 Reorder the terms: -44 + 20x + -3[10 + -81 + 2x] = 0 Combine like terms: 10 + -81 = -71 -44 + 20x + -3[-71 + 2x] = 0 -44 + 20x + [-71 * -3 + 2x * -3] = 0 -44 + 20x + [213 + -6x] = 0 Reorder the terms: -44 + 213 + 20x + -6x = 0 Combine like terms: -44 + 213 = 169 169 + 20x + -6x = 0 Combine like terms: 20x + -6x = 14x 169 + 14x = 0 Solving 169 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-169' to each side of the equation. 169 + -169 + 14x = 0 + -169 Combine like terms: 169 + -169 = 0 0 + 14x = 0 + -169 14x = 0 + -169 Combine like terms: 0 + -169 = -169 14x = -169 Divide each side by '14'. x = -12.07142857 Simplifying x = -12.07142857
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