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Simplifying 0.2(2x + 2) = 1.1 + -1(x + 3) Reorder the terms: 0.2(2 + 2x) = 1.1 + -1(x + 3) (2 * 0.2 + 2x * 0.2) = 1.1 + -1(x + 3) (0.4 + 0.4x) = 1.1 + -1(x + 3) Reorder the terms: 0.4 + 0.4x = 1.1 + -1(3 + x) 0.4 + 0.4x = 1.1 + (3 * -1 + x * -1) 0.4 + 0.4x = 1.1 + (-3 + -1x) Combine like terms: 1.1 + -3 = -1.9 0.4 + 0.4x = -1.9 + -1x Solving 0.4 + 0.4x = -1.9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 0.4 + 0.4x + x = -1.9 + -1x + x Combine like terms: 0.4x + x = 1.4x 0.4 + 1.4x = -1.9 + -1x + x Combine like terms: -1x + x = 0 0.4 + 1.4x = -1.9 + 0 0.4 + 1.4x = -1.9 Add '-0.4' to each side of the equation. 0.4 + -0.4 + 1.4x = -1.9 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 1.4x = -1.9 + -0.4 1.4x = -1.9 + -0.4 Combine like terms: -1.9 + -0.4 = -2.3 1.4x = -2.3 Divide each side by '1.4'. x = -1.642857143 Simplifying x = -1.642857143
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