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Simplifying 0.4x + -0.2(x + 4) = 1.4(x + 2) Reorder the terms: 0.4x + -0.2(4 + x) = 1.4(x + 2) 0.4x + (4 * -0.2 + x * -0.2) = 1.4(x + 2) 0.4x + (-0.8 + -0.2x) = 1.4(x + 2) Reorder the terms: -0.8 + 0.4x + -0.2x = 1.4(x + 2) Combine like terms: 0.4x + -0.2x = 0.2x -0.8 + 0.2x = 1.4(x + 2) Reorder the terms: -0.8 + 0.2x = 1.4(2 + x) -0.8 + 0.2x = (2 * 1.4 + x * 1.4) -0.8 + 0.2x = (2.8 + 1.4x) Solving -0.8 + 0.2x = 2.8 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. -0.8 + 0.2x + -1.4x = 2.8 + 1.4x + -1.4x Combine like terms: 0.2x + -1.4x = -1.2x -0.8 + -1.2x = 2.8 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 -0.8 + -1.2x = 2.8 + 0.0 -0.8 + -1.2x = 2.8 Add '0.8' to each side of the equation. -0.8 + 0.8 + -1.2x = 2.8 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -1.2x = 2.8 + 0.8 -1.2x = 2.8 + 0.8 Combine like terms: 2.8 + 0.8 = 3.6 -1.2x = 3.6 Divide each side by '-1.2'. x = -3 Simplifying x = -3
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