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Simplifying 6x + 0.5 = 7x + -0.83 Reorder the terms: 0.5 + 6x = 7x + -0.83 Reorder the terms: 0.5 + 6x = -0.83 + 7x Solving 0.5 + 6x = -0.83 + 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. 0.5 + 6x + -7x = -0.83 + 7x + -7x Combine like terms: 6x + -7x = -1x 0.5 + -1x = -0.83 + 7x + -7x Combine like terms: 7x + -7x = 0 0.5 + -1x = -0.83 + 0 0.5 + -1x = -0.83 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -1x = -0.83 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -1x = -0.83 + -0.5 -1x = -0.83 + -0.5 Combine like terms: -0.83 + -0.5 = -1.33 -1x = -1.33 Divide each side by '-1'. x = 1.33 Simplifying x = 1.33
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