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Simplifying 0.4x + -2(x + 4) = 1.4(x + 2) Reorder the terms: 0.4x + -2(4 + x) = 1.4(x + 2) 0.4x + (4 * -2 + x * -2) = 1.4(x + 2) 0.4x + (-8 + -2x) = 1.4(x + 2) Reorder the terms: -8 + 0.4x + -2x = 1.4(x + 2) Combine like terms: 0.4x + -2x = -1.6x -8 + -1.6x = 1.4(x + 2) Reorder the terms: -8 + -1.6x = 1.4(2 + x) -8 + -1.6x = (2 * 1.4 + x * 1.4) -8 + -1.6x = (2.8 + 1.4x) Solving -8 + -1.6x = 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. -8 + -1.6x + -1.4x = 2.8 + 1.4x + -1.4x Combine like terms: -1.6x + -1.4x = -3x -8 + -3x = 2.8 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 -8 + -3x = 2.8 + 0.0 -8 + -3x = 2.8 Add '8' to each side of the equation. -8 + 8 + -3x = 2.8 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 2.8 + 8 -3x = 2.8 + 8 Combine like terms: 2.8 + 8 = 10.8 -3x = 10.8 Divide each side by '-3'. x = -3.6 Simplifying x = -3.6
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