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Simplifying 0.01(x + 35) + -0.35 = 0.01(8x + 35) Reorder the terms: 0.01(35 + x) + -0.35 = 0.01(8x + 35) (35 * 0.01 + x * 0.01) + -0.35 = 0.01(8x + 35) (0.35 + 0.01x) + -0.35 = 0.01(8x + 35) Reorder the terms: 0.35 + -0.35 + 0.01x = 0.01(8x + 35) Combine like terms: 0.35 + -0.35 = 0.00 0.00 + 0.01x = 0.01(8x + 35) 0.01x = 0.01(8x + 35) Reorder the terms: 0.01x = 0.01(35 + 8x) 0.01x = (35 * 0.01 + 8x * 0.01) 0.01x = (0.35 + 0.08x) Solving 0.01x = 0.35 + 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 = 0.35 + 0.08x + -0.08x Combine like terms: 0.01x + -0.08x = -0.07x -0.07x = 0.35 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 -0.07x = 0.35 + 0.00 -0.07x = 0.35 Divide each side by '-0.07'. x = -5 Simplifying x = -5
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