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Simplifying -0.10(27) + 0.70x = 0.5(x + -2) Multiply -0.10 * 27 -2.7 + 0.70x = 0.5(x + -2) Reorder the terms: -2.7 + 0.70x = 0.5(-2 + x) -2.7 + 0.70x = (-2 * 0.5 + x * 0.5) -2.7 + 0.70x = (-1 + 0.5x) Solving -2.7 + 0.70x = -1 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -2.7 + 0.70x + -0.5x = -1 + 0.5x + -0.5x Combine like terms: 0.70x + -0.5x = 0.2x -2.7 + 0.2x = -1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -2.7 + 0.2x = -1 + 0.0 -2.7 + 0.2x = -1 Add '2.7' to each side of the equation. -2.7 + 2.7 + 0.2x = -1 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + 0.2x = -1 + 2.7 0.2x = -1 + 2.7 Combine like terms: -1 + 2.7 = 1.7 0.2x = 1.7 Divide each side by '0.2'. x = 8.5 Simplifying x = 8.5
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