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Simplifying 0.6x + 5 = 5x + 8 + 2x Reorder the terms: 5 + 0.6x = 5x + 8 + 2x Reorder the terms: 5 + 0.6x = 8 + 5x + 2x Combine like terms: 5x + 2x = 7x 5 + 0.6x = 8 + 7x Solving 5 + 0.6x = 8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5 + 0.6x + -7x = 8 + 7x + -7x Combine like terms: 0.6x + -7x = -6.4x 5 + -6.4x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -6.4x = 8 + 0 5 + -6.4x = 8 Add '-5' to each side of the equation. 5 + -5 + -6.4x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -6.4x = 8 + -5 -6.4x = 8 + -5 Combine like terms: 8 + -5 = 3 -6.4x = 3 Divide each side by '-6.4'. x = -0.46875 Simplifying x = -0.46875
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