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Simplifying -4.5x + 3(-2 + 0.5x) = -10 -4.5x + (-2 * 3 + 0.5x * 3) = -10 -4.5x + (-6 + 1.5x) = -10 Reorder the terms: -6 + -4.5x + 1.5x = -10 Combine like terms: -4.5x + 1.5x = -3x -6 + -3x = -10 Solving -6 + -3x = -10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -3x = -10 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -10 + 6 -3x = -10 + 6 Combine like terms: -10 + 6 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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