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Simplifying 3(0.4 + -1x) + 2 = x + 0.4(x + 8) (0.4 * 3 + -1x * 3) + 2 = x + 0.4(x + 8) (1.2 + -3x) + 2 = x + 0.4(x + 8) Reorder the terms: 1.2 + 2 + -3x = x + 0.4(x + 8) Combine like terms: 1.2 + 2 = 3.2 3.2 + -3x = x + 0.4(x + 8) Reorder the terms: 3.2 + -3x = x + 0.4(8 + x) 3.2 + -3x = x + (8 * 0.4 + x * 0.4) 3.2 + -3x = x + (3.2 + 0.4x) Reorder the terms: 3.2 + -3x = 3.2 + x + 0.4x Combine like terms: x + 0.4x = 1.4x 3.2 + -3x = 3.2 + 1.4x Add '-3.2' to each side of the equation. 3.2 + -3.2 + -3x = 3.2 + -3.2 + 1.4x Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -3x = 3.2 + -3.2 + 1.4x -3x = 3.2 + -3.2 + 1.4x Combine like terms: 3.2 + -3.2 = 0.0 -3x = 0.0 + 1.4x -3x = 1.4x Solving -3x = 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. -3x + -1.4x = 1.4x + -1.4x Combine like terms: -3x + -1.4x = -4.4x -4.4x = 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 -4.4x = 0.0 Divide each side by '-4.4'. x = 0 Simplifying x = 0
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