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Simplifying -8(3x + -2) + 3(3x + 4) = 0 Reorder the terms: -8(-2 + 3x) + 3(3x + 4) = 0 (-2 * -8 + 3x * -8) + 3(3x + 4) = 0 (16 + -24x) + 3(3x + 4) = 0 Reorder the terms: 16 + -24x + 3(4 + 3x) = 0 16 + -24x + (4 * 3 + 3x * 3) = 0 16 + -24x + (12 + 9x) = 0 Reorder the terms: 16 + 12 + -24x + 9x = 0 Combine like terms: 16 + 12 = 28 28 + -24x + 9x = 0 Combine like terms: -24x + 9x = -15x 28 + -15x = 0 Solving 28 + -15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -15x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -15x = 0 + -28 -15x = 0 + -28 Combine like terms: 0 + -28 = -28 -15x = -28 Divide each side by '-15'. x = 1.866666667 Simplifying x = 1.866666667
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