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Simplifying 17.8x + 5(6 + -1(2x + 3)) = 0 Reorder the terms: 17.8x + 5(6 + -1(3 + 2x)) = 0 17.8x + 5(6 + (3 * -1 + 2x * -1)) = 0 17.8x + 5(6 + (-3 + -2x)) = 0 Combine like terms: 6 + -3 = 3 17.8x + 5(3 + -2x) = 0 17.8x + (3 * 5 + -2x * 5) = 0 17.8x + (15 + -10x) = 0 Reorder the terms: 15 + 17.8x + -10x = 0 Combine like terms: 17.8x + -10x = 7.8x 15 + 7.8x = 0 Solving 15 + 7.8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 7.8x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 7.8x = 0 + -15 7.8x = 0 + -15 Combine like terms: 0 + -15 = -15 7.8x = -15 Divide each side by '7.8'. x = -1.923076923 Simplifying x = -1.923076923
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