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Simplifying 0.4x + 13.8 = x + -7.86 Reorder the terms: 13.8 + 0.4x = x + -7.86 Reorder the terms: 13.8 + 0.4x = -7.86 + x Solving 13.8 + 0.4x = -7.86 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 13.8 + 0.4x + -1x = -7.86 + x + -1x Combine like terms: 0.4x + -1x = -0.6x 13.8 + -0.6x = -7.86 + x + -1x Combine like terms: x + -1x = 0 13.8 + -0.6x = -7.86 + 0 13.8 + -0.6x = -7.86 Add '-13.8' to each side of the equation. 13.8 + -13.8 + -0.6x = -7.86 + -13.8 Combine like terms: 13.8 + -13.8 = 0.0 0.0 + -0.6x = -7.86 + -13.8 -0.6x = -7.86 + -13.8 Combine like terms: -7.86 + -13.8 = -21.66 -0.6x = -21.66 Divide each side by '-0.6'. x = 36.1 Simplifying x = 36.1
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