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Simplifying 7x + 3(0.5x + -3.5) = -19 Reorder the terms: 7x + 3(-3.5 + 0.5x) = -19 7x + (-3.5 * 3 + 0.5x * 3) = -19 7x + (-10.5 + 1.5x) = -19 Reorder the terms: -10.5 + 7x + 1.5x = -19 Combine like terms: 7x + 1.5x = 8.5x -10.5 + 8.5x = -19 Solving -10.5 + 8.5x = -19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.5' to each side of the equation. -10.5 + 10.5 + 8.5x = -19 + 10.5 Combine like terms: -10.5 + 10.5 = 0.0 0.0 + 8.5x = -19 + 10.5 8.5x = -19 + 10.5 Combine like terms: -19 + 10.5 = -8.5 8.5x = -8.5 Divide each side by '8.5'. x = -1 Simplifying x = -1
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