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Simplifying 6x + x + -0.9 = 6x + 0.9 Reorder the terms: -0.9 + 6x + x = 6x + 0.9 Combine like terms: 6x + x = 7x -0.9 + 7x = 6x + 0.9 Reorder the terms: -0.9 + 7x = 0.9 + 6x Solving -0.9 + 7x = 0.9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -0.9 + 7x + -6x = 0.9 + 6x + -6x Combine like terms: 7x + -6x = 1x -0.9 + 1x = 0.9 + 6x + -6x Combine like terms: 6x + -6x = 0 -0.9 + 1x = 0.9 + 0 -0.9 + 1x = 0.9 Add '0.9' to each side of the equation. -0.9 + 0.9 + 1x = 0.9 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 1x = 0.9 + 0.9 1x = 0.9 + 0.9 Combine like terms: 0.9 + 0.9 = 1.8 1x = 1.8 Divide each side by '1'. x = 1.8 Simplifying x = 1.8
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