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Simplifying (x + -5) + (0.5(x + 6)) + (2x + -10) = 30 Reorder the terms: (-5 + x) + (0.5(x + 6)) + (2x + -10) = 30 Remove parenthesis around (-5 + x) -5 + x + (0.5(x + 6)) + (2x + -10) = 30 Reorder the terms: -5 + x + (0.5(6 + x)) + (2x + -10) = 30 -5 + x + ((6 * 0.5 + x * 0.5)) + (2x + -10) = 30 -5 + x + ((3 + 0.5x)) + (2x + -10) = 30 -5 + x + (3 + 0.5x) + (2x + -10) = 30 Remove parenthesis around (3 + 0.5x) -5 + x + 3 + 0.5x + (2x + -10) = 30 Reorder the terms: -5 + x + 3 + 0.5x + (-10 + 2x) = 30 Remove parenthesis around (-10 + 2x) -5 + x + 3 + 0.5x + -10 + 2x = 30 Reorder the terms: -5 + 3 + -10 + x + 0.5x + 2x = 30 Combine like terms: -5 + 3 = -2 -2 + -10 + x + 0.5x + 2x = 30 Combine like terms: -2 + -10 = -12 -12 + x + 0.5x + 2x = 30 Combine like terms: x + 0.5x = 1.5x -12 + 1.5x + 2x = 30 Combine like terms: 1.5x + 2x = 3.5x -12 + 3.5x = 30 Solving -12 + 3.5x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 3.5x = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 3.5x = 30 + 12 3.5x = 30 + 12 Combine like terms: 30 + 12 = 42 3.5x = 42 Divide each side by '3.5'. x = 12 Simplifying x = 12
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