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Simplifying 14x + 6(0.5x + 3.5) = -38 Reorder the terms: 14x + 6(3.5 + 0.5x) = -38 14x + (3.5 * 6 + 0.5x * 6) = -38 14x + (21 + 3x) = -38 Reorder the terms: 21 + 14x + 3x = -38 Combine like terms: 14x + 3x = 17x 21 + 17x = -38 Solving 21 + 17x = -38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 17x = -38 + -21 Combine like terms: 21 + -21 = 0 0 + 17x = -38 + -21 17x = -38 + -21 Combine like terms: -38 + -21 = -59 17x = -59 Divide each side by '17'. x = -3.470588235 Simplifying x = -3.470588235
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