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Simplifying 2.4(20x + -10) + 2 = -2(0.5x + 6) Reorder the terms: 2.4(-10 + 20x) + 2 = -2(0.5x + 6) (-10 * 2.4 + 20x * 2.4) + 2 = -2(0.5x + 6) (-24 + 48x) + 2 = -2(0.5x + 6) Reorder the terms: -24 + 2 + 48x = -2(0.5x + 6) Combine like terms: -24 + 2 = -22 -22 + 48x = -2(0.5x + 6) Reorder the terms: -22 + 48x = -2(6 + 0.5x) -22 + 48x = (6 * -2 + 0.5x * -2) -22 + 48x = (-12 + -1x) Solving -22 + 48x = -12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -22 + 48x + x = -12 + -1x + x Combine like terms: 48x + x = 49x -22 + 49x = -12 + -1x + x Combine like terms: -1x + x = 0 -22 + 49x = -12 + 0 -22 + 49x = -12 Add '22' to each side of the equation. -22 + 22 + 49x = -12 + 22 Combine like terms: -22 + 22 = 0 0 + 49x = -12 + 22 49x = -12 + 22 Combine like terms: -12 + 22 = 10 49x = 10 Divide each side by '49'. x = 0.2040816327 Simplifying x = 0.2040816327
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