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Simplifying -0.10(47) + 0.60x = 0.05(x + -6) Multiply -0.10 * 47 -4.7 + 0.60x = 0.05(x + -6) Reorder the terms: -4.7 + 0.60x = 0.05(-6 + x) -4.7 + 0.60x = (-6 * 0.05 + x * 0.05) -4.7 + 0.60x = (-0.3 + 0.05x) Solving -4.7 + 0.60x = -0.3 + 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. -4.7 + 0.60x + -0.05x = -0.3 + 0.05x + -0.05x Combine like terms: 0.60x + -0.05x = 0.55x -4.7 + 0.55x = -0.3 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -4.7 + 0.55x = -0.3 + 0.00 -4.7 + 0.55x = -0.3 Add '4.7' to each side of the equation. -4.7 + 4.7 + 0.55x = -0.3 + 4.7 Combine like terms: -4.7 + 4.7 = 0.0 0.0 + 0.55x = -0.3 + 4.7 0.55x = -0.3 + 4.7 Combine like terms: -0.3 + 4.7 = 4.4 0.55x = 4.4 Divide each side by '0.55'. x = 8 Simplifying x = 8
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