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Simplifying 2(0.5x + x + -10) = 2(x + -6 + 0.25x) Reorder the terms: 2(-10 + 0.5x + x) = 2(x + -6 + 0.25x) Combine like terms: 0.5x + x = 1.5x 2(-10 + 1.5x) = 2(x + -6 + 0.25x) (-10 * 2 + 1.5x * 2) = 2(x + -6 + 0.25x) (-20 + 3x) = 2(x + -6 + 0.25x) Reorder the terms: -20 + 3x = 2(-6 + x + 0.25x) Combine like terms: x + 0.25x = 1.25x -20 + 3x = 2(-6 + 1.25x) -20 + 3x = (-6 * 2 + 1.25x * 2) -20 + 3x = (-12 + 2.5x) Solving -20 + 3x = -12 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. -20 + 3x + -2.5x = -12 + 2.5x + -2.5x Combine like terms: 3x + -2.5x = 0.5x -20 + 0.5x = -12 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -20 + 0.5x = -12 + 0.0 -20 + 0.5x = -12 Add '20' to each side of the equation. -20 + 20 + 0.5x = -12 + 20 Combine like terms: -20 + 20 = 0 0 + 0.5x = -12 + 20 0.5x = -12 + 20 Combine like terms: -12 + 20 = 8 0.5x = 8 Divide each side by '0.5'. x = 16 Simplifying x = 16
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