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Simplifying 4x + -1(-0.5x + 1) = -10 Reorder the terms: 4x + -1(1 + -0.5x) = -10 4x + (1 * -1 + -0.5x * -1) = -10 4x + (-1 + 0.5x) = -10 Reorder the terms: -1 + 4x + 0.5x = -10 Combine like terms: 4x + 0.5x = 4.5x -1 + 4.5x = -10 Solving -1 + 4.5x = -10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4.5x = -10 + 1 Combine like terms: -1 + 1 = 0 0 + 4.5x = -10 + 1 4.5x = -10 + 1 Combine like terms: -10 + 1 = -9 4.5x = -9 Divide each side by '4.5'. x = -2 Simplifying x = -2
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