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Simplifying 0.5(2x + -6) + -2(3x + 1) = 10 Reorder the terms: 0.5(-6 + 2x) + -2(3x + 1) = 10 (-6 * 0.5 + 2x * 0.5) + -2(3x + 1) = 10 (-3 + 1x) + -2(3x + 1) = 10 Reorder the terms: -3 + 1x + -2(1 + 3x) = 10 -3 + 1x + (1 * -2 + 3x * -2) = 10 -3 + 1x + (-2 + -6x) = 10 Reorder the terms: -3 + -2 + 1x + -6x = 10 Combine like terms: -3 + -2 = -5 -5 + 1x + -6x = 10 Combine like terms: 1x + -6x = -5x -5 + -5x = 10 Solving -5 + -5x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -5x = 10 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = 10 + 5 -5x = 10 + 5 Combine like terms: 10 + 5 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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