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Simplifying 3(x + 2) + -0.5(x + 2) = -0.2x + -4 Reorder the terms: 3(2 + x) + -0.5(x + 2) = -0.2x + -4 (2 * 3 + x * 3) + -0.5(x + 2) = -0.2x + -4 (6 + 3x) + -0.5(x + 2) = -0.2x + -4 Reorder the terms: 6 + 3x + -0.5(2 + x) = -0.2x + -4 6 + 3x + (2 * -0.5 + x * -0.5) = -0.2x + -4 6 + 3x + (-1 + -0.5x) = -0.2x + -4 Reorder the terms: 6 + -1 + 3x + -0.5x = -0.2x + -4 Combine like terms: 6 + -1 = 5 5 + 3x + -0.5x = -0.2x + -4 Combine like terms: 3x + -0.5x = 2.5x 5 + 2.5x = -0.2x + -4 Reorder the terms: 5 + 2.5x = -4 + -0.2x Solving 5 + 2.5x = -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. 5 + 2.5x + 0.2x = -4 + -0.2x + 0.2x Combine like terms: 2.5x + 0.2x = 2.7x 5 + 2.7x = -4 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 5 + 2.7x = -4 + 0.0 5 + 2.7x = -4 Add '-5' to each side of the equation. 5 + -5 + 2.7x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + 2.7x = -4 + -5 2.7x = -4 + -5 Combine like terms: -4 + -5 = -9 2.7x = -9 Divide each side by '2.7'. x = -3.333333333 Simplifying x = -3.333333333
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