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Simplifying -0.1x + 7.56 = -0.5x + 8.36 Reorder the terms: 7.56 + -0.1x = -0.5x + 8.36 Reorder the terms: 7.56 + -0.1x = 8.36 + -0.5x Solving 7.56 + -0.1x = 8.36 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 7.56 + -0.1x + 0.5x = 8.36 + -0.5x + 0.5x Combine like terms: -0.1x + 0.5x = 0.4x 7.56 + 0.4x = 8.36 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 7.56 + 0.4x = 8.36 + 0.0 7.56 + 0.4x = 8.36 Add '-7.56' to each side of the equation. 7.56 + -7.56 + 0.4x = 8.36 + -7.56 Combine like terms: 7.56 + -7.56 = 0.00 0.00 + 0.4x = 8.36 + -7.56 0.4x = 8.36 + -7.56 Combine like terms: 8.36 + -7.56 = 0.8 0.4x = 0.8 Divide each side by '0.4'. x = 2 Simplifying x = 2
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