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Simplifying 0.01(x + 21) + -0.21 = 0.01(8x + 21) Reorder the terms: 0.01(21 + x) + -0.21 = 0.01(8x + 21) (21 * 0.01 + x * 0.01) + -0.21 = 0.01(8x + 21) (0.21 + 0.01x) + -0.21 = 0.01(8x + 21) Reorder the terms: 0.21 + -0.21 + 0.01x = 0.01(8x + 21) Combine like terms: 0.21 + -0.21 = 0.00 0.00 + 0.01x = 0.01(8x + 21) 0.01x = 0.01(8x + 21) Reorder the terms: 0.01x = 0.01(21 + 8x) 0.01x = (21 * 0.01 + 8x * 0.01) 0.01x = (0.21 + 0.08x) Solving 0.01x = 0.21 + 0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08x' to each side of the equation. 0.01x + -0.08x = 0.21 + 0.08x + -0.08x Combine like terms: 0.01x + -0.08x = -0.07x -0.07x = 0.21 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 -0.07x = 0.21 + 0.00 -0.07x = 0.21 Divide each side by '-0.07'. x = -3 Simplifying x = -3
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