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Simplifying (x + 2) + -0.5(x + 2) = -0.2x + -0.4 Reorder the terms: (2 + x) + -0.5(x + 2) = -0.2x + -0.4 Remove parenthesis around (2 + x) 2 + x + -0.5(x + 2) = -0.2x + -0.4 Reorder the terms: 2 + x + -0.5(2 + x) = -0.2x + -0.4 2 + x + (2 * -0.5 + x * -0.5) = -0.2x + -0.4 2 + x + (-1 + -0.5x) = -0.2x + -0.4 Reorder the terms: 2 + -1 + x + -0.5x = -0.2x + -0.4 Combine like terms: 2 + -1 = 1 1 + x + -0.5x = -0.2x + -0.4 Combine like terms: x + -0.5x = 0.5x 1 + 0.5x = -0.2x + -0.4 Reorder the terms: 1 + 0.5x = -0.4 + -0.2x Solving 1 + 0.5x = -0.4 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. 1 + 0.5x + 0.2x = -0.4 + -0.2x + 0.2x Combine like terms: 0.5x + 0.2x = 0.7x 1 + 0.7x = -0.4 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 1 + 0.7x = -0.4 + 0.0 1 + 0.7x = -0.4 Add '-1' to each side of the equation. 1 + -1 + 0.7x = -0.4 + -1 Combine like terms: 1 + -1 = 0 0 + 0.7x = -0.4 + -1 0.7x = -0.4 + -1 Combine like terms: -0.4 + -1 = -1.4 0.7x = -1.4 Divide each side by '0.7'. x = -2 Simplifying x = -2
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