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Simplifying 0.4(7x + 14) = 1.4 + -1(x + 2) Reorder the terms: 0.4(14 + 7x) = 1.4 + -1(x + 2) (14 * 0.4 + 7x * 0.4) = 1.4 + -1(x + 2) (5.6 + 2.8x) = 1.4 + -1(x + 2) Reorder the terms: 5.6 + 2.8x = 1.4 + -1(2 + x) 5.6 + 2.8x = 1.4 + (2 * -1 + x * -1) 5.6 + 2.8x = 1.4 + (-2 + -1x) Combine like terms: 1.4 + -2 = -0.6 5.6 + 2.8x = -0.6 + -1x Solving 5.6 + 2.8x = -0.6 + -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. 5.6 + 2.8x + x = -0.6 + -1x + x Combine like terms: 2.8x + x = 3.8x 5.6 + 3.8x = -0.6 + -1x + x Combine like terms: -1x + x = 0 5.6 + 3.8x = -0.6 + 0 5.6 + 3.8x = -0.6 Add '-5.6' to each side of the equation. 5.6 + -5.6 + 3.8x = -0.6 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + 3.8x = -0.6 + -5.6 3.8x = -0.6 + -5.6 Combine like terms: -0.6 + -5.6 = -6.2 3.8x = -6.2 Divide each side by '3.8'. x = -1.631578947 Simplifying x = -1.631578947
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