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Simplifying 0.2(x + 2) + 2x = 3x + -1 Reorder the terms: 0.2(2 + x) + 2x = 3x + -1 (2 * 0.2 + x * 0.2) + 2x = 3x + -1 (0.4 + 0.2x) + 2x = 3x + -1 Combine like terms: 0.2x + 2x = 2.2x 0.4 + 2.2x = 3x + -1 Reorder the terms: 0.4 + 2.2x = -1 + 3x Solving 0.4 + 2.2x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 0.4 + 2.2x + -3x = -1 + 3x + -3x Combine like terms: 2.2x + -3x = -0.8x 0.4 + -0.8x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 0.4 + -0.8x = -1 + 0 0.4 + -0.8x = -1 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -0.8x = -1 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.8x = -1 + -0.4 -0.8x = -1 + -0.4 Combine like terms: -1 + -0.4 = -1.4 -0.8x = -1.4 Divide each side by '-0.8'. x = 1.75 Simplifying x = 1.75
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