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Simplifying 100x = 3x + 0.5(10x + -6) + -21 Reorder the terms: 100x = 3x + 0.5(-6 + 10x) + -21 100x = 3x + (-6 * 0.5 + 10x * 0.5) + -21 100x = 3x + (-3 + 5x) + -21 Reorder the terms: 100x = -3 + -21 + 3x + 5x Combine like terms: -3 + -21 = -24 100x = -24 + 3x + 5x Combine like terms: 3x + 5x = 8x 100x = -24 + 8x Solving 100x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 100x + -8x = -24 + 8x + -8x Combine like terms: 100x + -8x = 92x 92x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 92x = -24 + 0 92x = -24 Divide each side by '92'. x = -0.2608695652 Simplifying x = -0.2608695652
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