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Simplifying -10(43) + 0.35x = 0.05(x + -2) Multiply -10 * 43 -430 + 0.35x = 0.05(x + -2) Reorder the terms: -430 + 0.35x = 0.05(-2 + x) -430 + 0.35x = (-2 * 0.05 + x * 0.05) -430 + 0.35x = (-0.1 + 0.05x) Solving -430 + 0.35x = -0.1 + 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. -430 + 0.35x + -0.05x = -0.1 + 0.05x + -0.05x Combine like terms: 0.35x + -0.05x = 0.3x -430 + 0.3x = -0.1 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -430 + 0.3x = -0.1 + 0.00 -430 + 0.3x = -0.1 Add '430' to each side of the equation. -430 + 430 + 0.3x = -0.1 + 430 Combine like terms: -430 + 430 = 0 0 + 0.3x = -0.1 + 430 0.3x = -0.1 + 430 Combine like terms: -0.1 + 430 = 429.9 0.3x = 429.9 Divide each side by '0.3'. x = 1433 Simplifying x = 1433
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