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Simplifying -0.10(27) + 0.70x = 0.05(x + -2) Multiply -0.10 * 27 -2.7 + 0.70x = 0.05(x + -2) Reorder the terms: -2.7 + 0.70x = 0.05(-2 + x) -2.7 + 0.70x = (-2 * 0.05 + x * 0.05) -2.7 + 0.70x = (-0.1 + 0.05x) Solving -2.7 + 0.70x = -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. -2.7 + 0.70x + -0.05x = -0.1 + 0.05x + -0.05x Combine like terms: 0.70x + -0.05x = 0.65x -2.7 + 0.65x = -0.1 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -2.7 + 0.65x = -0.1 + 0.00 -2.7 + 0.65x = -0.1 Add '2.7' to each side of the equation. -2.7 + 2.7 + 0.65x = -0.1 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + 0.65x = -0.1 + 2.7 0.65x = -0.1 + 2.7 Combine like terms: -0.1 + 2.7 = 2.6 0.65x = 2.6 Divide each side by '0.65'. x = 4 Simplifying x = 4
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