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Simplifying -0.10(71) + 0.55x = 0.05(x + -2) Multiply -0.10 * 71 -7.1 + 0.55x = 0.05(x + -2) Reorder the terms: -7.1 + 0.55x = 0.05(-2 + x) -7.1 + 0.55x = (-2 * 0.05 + x * 0.05) -7.1 + 0.55x = (-0.1 + 0.05x) Solving -7.1 + 0.55x = -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. -7.1 + 0.55x + -0.05x = -0.1 + 0.05x + -0.05x Combine like terms: 0.55x + -0.05x = 0.5x -7.1 + 0.5x = -0.1 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -7.1 + 0.5x = -0.1 + 0.00 -7.1 + 0.5x = -0.1 Add '7.1' to each side of the equation. -7.1 + 7.1 + 0.5x = -0.1 + 7.1 Combine like terms: -7.1 + 7.1 = 0.0 0.0 + 0.5x = -0.1 + 7.1 0.5x = -0.1 + 7.1 Combine like terms: -0.1 + 7.1 = 7 0.5x = 7 Divide each side by '0.5'. x = 14 Simplifying x = 14
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