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Simplifying 8[3(2x + -5) + -1(4x + 1)(6)] = 0 Reorder the terms: 8[3(-5 + 2x) + -1(4x + 1)(6)] = 0 8[(-5 * 3 + 2x * 3) + -1(4x + 1)(6)] = 0 8[(-15 + 6x) + -1(4x + 1)(6)] = 0 Reorder the terms: 8[-15 + 6x + -1(1 + 4x)(6)] = 0 Reorder the terms for easier multiplication: 8[-15 + 6x + -1 * 6(1 + 4x)] = 0 Multiply -1 * 6 8[-15 + 6x + -6(1 + 4x)] = 0 8[-15 + 6x + (1 * -6 + 4x * -6)] = 0 8[-15 + 6x + (-6 + -24x)] = 0 Reorder the terms: 8[-15 + -6 + 6x + -24x] = 0 Combine like terms: -15 + -6 = -21 8[-21 + 6x + -24x] = 0 Combine like terms: 6x + -24x = -18x 8[-21 + -18x] = 0 [-21 * 8 + -18x * 8] = 0 [-168 + -144x] = 0 Solving -168 + -144x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '168' to each side of the equation. -168 + 168 + -144x = 0 + 168 Combine like terms: -168 + 168 = 0 0 + -144x = 0 + 168 -144x = 0 + 168 Combine like terms: 0 + 168 = 168 -144x = 168 Divide each side by '-144'. x = -1.166666667 Simplifying x = -1.166666667
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