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Simplifying 0.01(x + 7) + -0.07 = 0.01(8x + 7) Reorder the terms: 0.01(7 + x) + -0.07 = 0.01(8x + 7) (7 * 0.01 + x * 0.01) + -0.07 = 0.01(8x + 7) (0.07 + 0.01x) + -0.07 = 0.01(8x + 7) Reorder the terms: 0.07 + -0.07 + 0.01x = 0.01(8x + 7) Combine like terms: 0.07 + -0.07 = 0.00 0.00 + 0.01x = 0.01(8x + 7) 0.01x = 0.01(8x + 7) Reorder the terms: 0.01x = 0.01(7 + 8x) 0.01x = (7 * 0.01 + 8x * 0.01) 0.01x = (0.07 + 0.08x) Solving 0.01x = 0.07 + 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 = 0.07 + 0.08x + -0.08x Combine like terms: 0.01x + -0.08x = -0.07x -0.07x = 0.07 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 -0.07x = 0.07 + 0.00 -0.07x = 0.07 Divide each side by '-0.07'. x = -1 Simplifying x = -1
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