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Simplifying 2(0.5x + 8) + -5(1.5x + 7) = 0 Reorder the terms: 2(8 + 0.5x) + -5(1.5x + 7) = 0 (8 * 2 + 0.5x * 2) + -5(1.5x + 7) = 0 (16 + 1x) + -5(1.5x + 7) = 0 Reorder the terms: 16 + 1x + -5(7 + 1.5x) = 0 16 + 1x + (7 * -5 + 1.5x * -5) = 0 16 + 1x + (-35 + -7.5x) = 0 Reorder the terms: 16 + -35 + 1x + -7.5x = 0 Combine like terms: 16 + -35 = -19 -19 + 1x + -7.5x = 0 Combine like terms: 1x + -7.5x = -6.5x -19 + -6.5x = 0 Solving -19 + -6.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -6.5x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -6.5x = 0 + 19 -6.5x = 0 + 19 Combine like terms: 0 + 19 = 19 -6.5x = 19 Divide each side by '-6.5'. x = -2.923076923 Simplifying x = -2.923076923
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