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Simplifying 2(0.5x + 7) + -5(4.5x + 4) = 0 Reorder the terms: 2(7 + 0.5x) + -5(4.5x + 4) = 0 (7 * 2 + 0.5x * 2) + -5(4.5x + 4) = 0 (14 + 1x) + -5(4.5x + 4) = 0 Reorder the terms: 14 + 1x + -5(4 + 4.5x) = 0 14 + 1x + (4 * -5 + 4.5x * -5) = 0 14 + 1x + (-20 + -22.5x) = 0 Reorder the terms: 14 + -20 + 1x + -22.5x = 0 Combine like terms: 14 + -20 = -6 -6 + 1x + -22.5x = 0 Combine like terms: 1x + -22.5x = -21.5x -6 + -21.5x = 0 Solving -6 + -21.5x = 0 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 + -21.5x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -21.5x = 0 + 6 -21.5x = 0 + 6 Combine like terms: 0 + 6 = 6 -21.5x = 6 Divide each side by '-21.5'. x = -0.2790697674 Simplifying x = -0.2790697674
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