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Simplifying 0.01(x + 5) + -0.5 = 0.1(6x + 5) Reorder the terms: 0.01(5 + x) + -0.5 = 0.1(6x + 5) (5 * 0.01 + x * 0.01) + -0.5 = 0.1(6x + 5) (0.05 + 0.01x) + -0.5 = 0.1(6x + 5) Reorder the terms: 0.05 + -0.5 + 0.01x = 0.1(6x + 5) Combine like terms: 0.05 + -0.5 = -0.45 -0.45 + 0.01x = 0.1(6x + 5) Reorder the terms: -0.45 + 0.01x = 0.1(5 + 6x) -0.45 + 0.01x = (5 * 0.1 + 6x * 0.1) -0.45 + 0.01x = (0.5 + 0.6x) Solving -0.45 + 0.01x = 0.5 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. -0.45 + 0.01x + -0.6x = 0.5 + 0.6x + -0.6x Combine like terms: 0.01x + -0.6x = -0.59x -0.45 + -0.59x = 0.5 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -0.45 + -0.59x = 0.5 + 0.0 -0.45 + -0.59x = 0.5 Add '0.45' to each side of the equation. -0.45 + 0.45 + -0.59x = 0.5 + 0.45 Combine like terms: -0.45 + 0.45 = 0.00 0.00 + -0.59x = 0.5 + 0.45 -0.59x = 0.5 + 0.45 Combine like terms: 0.5 + 0.45 = 0.95 -0.59x = 0.95 Divide each side by '-0.59'. x = -1.610169492 Simplifying x = -1.610169492
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