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Simplifying 15(x + 2) + 8(4x + 3) = 0 Reorder the terms: 15(2 + x) + 8(4x + 3) = 0 (2 * 15 + x * 15) + 8(4x + 3) = 0 (30 + 15x) + 8(4x + 3) = 0 Reorder the terms: 30 + 15x + 8(3 + 4x) = 0 30 + 15x + (3 * 8 + 4x * 8) = 0 30 + 15x + (24 + 32x) = 0 Reorder the terms: 30 + 24 + 15x + 32x = 0 Combine like terms: 30 + 24 = 54 54 + 15x + 32x = 0 Combine like terms: 15x + 32x = 47x 54 + 47x = 0 Solving 54 + 47x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 47x = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 47x = 0 + -54 47x = 0 + -54 Combine like terms: 0 + -54 = -54 47x = -54 Divide each side by '47'. x = -1.14893617 Simplifying x = -1.14893617
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