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Simplifying -0.10(43) + 0.70x = 0.05(x + -8) Multiply -0.10 * 43 -4.3 + 0.70x = 0.05(x + -8) Reorder the terms: -4.3 + 0.70x = 0.05(-8 + x) -4.3 + 0.70x = (-8 * 0.05 + x * 0.05) -4.3 + 0.70x = (-0.4 + 0.05x) Solving -4.3 + 0.70x = -0.4 + 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 + 0.70x + -0.05x = -0.4 + 0.05x + -0.05x Combine like terms: 0.70x + -0.05x = 0.65x -4.3 + 0.65x = -0.4 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -4.3 + 0.65x = -0.4 + 0.00 -4.3 + 0.65x = -0.4 Add '4.3' to each side of the equation. -4.3 + 4.3 + 0.65x = -0.4 + 4.3 Combine like terms: -4.3 + 4.3 = 0.0 0.0 + 0.65x = -0.4 + 4.3 0.65x = -0.4 + 4.3 Combine like terms: -0.4 + 4.3 = 3.9 0.65x = 3.9 Divide each side by '0.65'. x = 6 Simplifying x = 6
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