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Simplifying 0.09x + 0.1 = 0.5(x + -12) Reorder the terms: 0.1 + 0.09x = 0.5(x + -12) Reorder the terms: 0.1 + 0.09x = 0.5(-12 + x) 0.1 + 0.09x = (-12 * 0.5 + x * 0.5) 0.1 + 0.09x = (-6 + 0.5x) Solving 0.1 + 0.09x = -6 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 0.1 + 0.09x + -0.5x = -6 + 0.5x + -0.5x Combine like terms: 0.09x + -0.5x = -0.41x 0.1 + -0.41x = -6 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.1 + -0.41x = -6 + 0.0 0.1 + -0.41x = -6 Add '-0.1' to each side of the equation. 0.1 + -0.1 + -0.41x = -6 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -0.41x = -6 + -0.1 -0.41x = -6 + -0.1 Combine like terms: -6 + -0.1 = -6.1 -0.41x = -6.1 Divide each side by '-0.41'. x = 14.87804878 Simplifying x = 14.87804878
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