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Simplifying -0.6x + 6.75 = 0.4x + 9.95 Reorder the terms: 6.75 + -0.6x = 0.4x + 9.95 Reorder the terms: 6.75 + -0.6x = 9.95 + 0.4x Solving 6.75 + -0.6x = 9.95 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 6.75 + -0.6x + -0.4x = 9.95 + 0.4x + -0.4x Combine like terms: -0.6x + -0.4x = -1x 6.75 + -1x = 9.95 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 6.75 + -1x = 9.95 + 0.0 6.75 + -1x = 9.95 Add '-6.75' to each side of the equation. 6.75 + -6.75 + -1x = 9.95 + -6.75 Combine like terms: 6.75 + -6.75 = 0.00 0.00 + -1x = 9.95 + -6.75 -1x = 9.95 + -6.75 Combine like terms: 9.95 + -6.75 = 3.2 -1x = 3.2 Divide each side by '-1'. x = -3.2 Simplifying x = -3.2
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