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Simplifying -0.10(61) + 0.60x = 0.05(x + -12) Multiply -0.10 * 61 -6.1 + 0.60x = 0.05(x + -12) Reorder the terms: -6.1 + 0.60x = 0.05(-12 + x) -6.1 + 0.60x = (-12 * 0.05 + x * 0.05) -6.1 + 0.60x = (-0.6 + 0.05x) Solving -6.1 + 0.60x = -0.6 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -6.1 + 0.60x + -0.05x = -0.6 + 0.05x + -0.05x Combine like terms: 0.60x + -0.05x = 0.55x -6.1 + 0.55x = -0.6 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -6.1 + 0.55x = -0.6 + 0.00 -6.1 + 0.55x = -0.6 Add '6.1' to each side of the equation. -6.1 + 6.1 + 0.55x = -0.6 + 6.1 Combine like terms: -6.1 + 6.1 = 0.0 0.0 + 0.55x = -0.6 + 6.1 0.55x = -0.6 + 6.1 Combine like terms: -0.6 + 6.1 = 5.5 0.55x = 5.5 Divide each side by '0.55'. x = 10 Simplifying x = 10
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