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Simplifying 0.4(2x + 2) + -1x = 2x + 1.8 Reorder the terms: 0.4(2 + 2x) + -1x = 2x + 1.8 (2 * 0.4 + 2x * 0.4) + -1x = 2x + 1.8 (0.8 + 0.8x) + -1x = 2x + 1.8 Combine like terms: 0.8x + -1x = -0.2x 0.8 + -0.2x = 2x + 1.8 Reorder the terms: 0.8 + -0.2x = 1.8 + 2x Solving 0.8 + -0.2x = 1.8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 0.8 + -0.2x + -2x = 1.8 + 2x + -2x Combine like terms: -0.2x + -2x = -2.2x 0.8 + -2.2x = 1.8 + 2x + -2x Combine like terms: 2x + -2x = 0 0.8 + -2.2x = 1.8 + 0 0.8 + -2.2x = 1.8 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -2.2x = 1.8 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -2.2x = 1.8 + -0.8 -2.2x = 1.8 + -0.8 Combine like terms: 1.8 + -0.8 = 1 -2.2x = 1 Divide each side by '-2.2'. x = -0.4545454545 Simplifying x = -0.4545454545
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