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Simplifying -0.10(43) + 0.55x = 0.05(x + -6) Multiply -0.10 * 43 -4.3 + 0.55x = 0.05(x + -6) Reorder the terms: -4.3 + 0.55x = 0.05(-6 + x) -4.3 + 0.55x = (-6 * 0.05 + x * 0.05) -4.3 + 0.55x = (-0.3 + 0.05x) Solving -4.3 + 0.55x = -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. -4.3 + 0.55x + -0.05x = -0.3 + 0.05x + -0.05x Combine like terms: 0.55x + -0.05x = 0.5x -4.3 + 0.5x = -0.3 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -4.3 + 0.5x = -0.3 + 0.00 -4.3 + 0.5x = -0.3 Add '4.3' to each side of the equation. -4.3 + 4.3 + 0.5x = -0.3 + 4.3 Combine like terms: -4.3 + 4.3 = 0.0 0.0 + 0.5x = -0.3 + 4.3 0.5x = -0.3 + 4.3 Combine like terms: -0.3 + 4.3 = 4 0.5x = 4 Divide each side by '0.5'. x = 8 Simplifying x = 8
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