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Simplifying 0.2(-26.8 + 3x) = 1.4x (-26.8 * 0.2 + 3x * 0.2) = 1.4x (-5.36 + 0.6x) = 1.4x Solving -5.36 + 0.6x = 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. -5.36 + 0.6x + -1.4x = 1.4x + -1.4x Combine like terms: 0.6x + -1.4x = -0.8x -5.36 + -0.8x = 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 -5.36 + -0.8x = 0.0 Add '5.36' to each side of the equation. -5.36 + 5.36 + -0.8x = 0.0 + 5.36 Combine like terms: -5.36 + 5.36 = 0.00 0.00 + -0.8x = 0.0 + 5.36 -0.8x = 0.0 + 5.36 Combine like terms: 0.0 + 5.36 = 5.36 -0.8x = 5.36 Divide each side by '-0.8'. x = -6.7 Simplifying x = -6.7
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