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Simplifying 0.6x + 12.8 = x + -5.84 Reorder the terms: 12.8 + 0.6x = x + -5.84 Reorder the terms: 12.8 + 0.6x = -5.84 + x Solving 12.8 + 0.6x = -5.84 + 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. 12.8 + 0.6x + -1x = -5.84 + x + -1x Combine like terms: 0.6x + -1x = -0.4x 12.8 + -0.4x = -5.84 + x + -1x Combine like terms: x + -1x = 0 12.8 + -0.4x = -5.84 + 0 12.8 + -0.4x = -5.84 Add '-12.8' to each side of the equation. 12.8 + -12.8 + -0.4x = -5.84 + -12.8 Combine like terms: 12.8 + -12.8 = 0.0 0.0 + -0.4x = -5.84 + -12.8 -0.4x = -5.84 + -12.8 Combine like terms: -5.84 + -12.8 = -18.64 -0.4x = -18.64 Divide each side by '-0.4'. x = 46.6 Simplifying x = 46.6
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