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Simplifying 4(6.5x + 2.5) + -4.5(8x + 4) = 0 Reorder the terms: 4(2.5 + 6.5x) + -4.5(8x + 4) = 0 (2.5 * 4 + 6.5x * 4) + -4.5(8x + 4) = 0 (10 + 26x) + -4.5(8x + 4) = 0 Reorder the terms: 10 + 26x + -4.5(4 + 8x) = 0 10 + 26x + (4 * -4.5 + 8x * -4.5) = 0 10 + 26x + (-18 + -36x) = 0 Reorder the terms: 10 + -18 + 26x + -36x = 0 Combine like terms: 10 + -18 = -8 -8 + 26x + -36x = 0 Combine like terms: 26x + -36x = -10x -8 + -10x = 0 Solving -8 + -10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -10x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -10x = 0 + 8 -10x = 0 + 8 Combine like terms: 0 + 8 = 8 -10x = 8 Divide each side by '-10'. x = -0.8 Simplifying x = -0.8
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