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Simplifying 18x + -1(x + -4) + 6(3x + 8) = 0 Reorder the terms: 18x + -1(-4 + x) + 6(3x + 8) = 0 18x + (-4 * -1 + x * -1) + 6(3x + 8) = 0 18x + (4 + -1x) + 6(3x + 8) = 0 Reorder the terms: 18x + 4 + -1x + 6(8 + 3x) = 0 18x + 4 + -1x + (8 * 6 + 3x * 6) = 0 18x + 4 + -1x + (48 + 18x) = 0 Reorder the terms: 4 + 48 + 18x + -1x + 18x = 0 Combine like terms: 4 + 48 = 52 52 + 18x + -1x + 18x = 0 Combine like terms: 18x + -1x = 17x 52 + 17x + 18x = 0 Combine like terms: 17x + 18x = 35x 52 + 35x = 0 Solving 52 + 35x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 35x = 0 + -52 Combine like terms: 52 + -52 = 0 0 + 35x = 0 + -52 35x = 0 + -52 Combine like terms: 0 + -52 = -52 35x = -52 Divide each side by '35'. x = -1.485714286 Simplifying x = -1.485714286
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