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Simplifying 4.2(x + -2) = -1.1(2 + -1x) Reorder the terms: 4.2(-2 + x) = -1.1(2 + -1x) (-2 * 4.2 + x * 4.2) = -1.1(2 + -1x) (-8.4 + 4.2x) = -1.1(2 + -1x) -8.4 + 4.2x = (2 * -1.1 + -1x * -1.1) -8.4 + 4.2x = (-2.2 + 1.1x) Solving -8.4 + 4.2x = -2.2 + 1.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.1x' to each side of the equation. -8.4 + 4.2x + -1.1x = -2.2 + 1.1x + -1.1x Combine like terms: 4.2x + -1.1x = 3.1x -8.4 + 3.1x = -2.2 + 1.1x + -1.1x Combine like terms: 1.1x + -1.1x = 0.0 -8.4 + 3.1x = -2.2 + 0.0 -8.4 + 3.1x = -2.2 Add '8.4' to each side of the equation. -8.4 + 8.4 + 3.1x = -2.2 + 8.4 Combine like terms: -8.4 + 8.4 = 0.0 0.0 + 3.1x = -2.2 + 8.4 3.1x = -2.2 + 8.4 Combine like terms: -2.2 + 8.4 = 6.2 3.1x = 6.2 Divide each side by '3.1'. x = 2 Simplifying x = 2
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