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Simplifying 0.5(17 + -4x) + -0.75(6 + -16x) = 0 (17 * 0.5 + -4x * 0.5) + -0.75(6 + -16x) = 0 (8.5 + -2x) + -0.75(6 + -16x) = 0 8.5 + -2x + (6 * -0.75 + -16x * -0.75) = 0 8.5 + -2x + (-4.5 + 12x) = 0 Reorder the terms: 8.5 + -4.5 + -2x + 12x = 0 Combine like terms: 8.5 + -4.5 = 4 4 + -2x + 12x = 0 Combine like terms: -2x + 12x = 10x 4 + 10x = 0 Solving 4 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 10x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = 0 + -4 10x = 0 + -4 Combine like terms: 0 + -4 = -4 10x = -4 Divide each side by '10'. x = -0.4 Simplifying x = -0.4
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