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Simplifying -0.1x + 7.98 = -0.5x + 1.98 Reorder the terms: 7.98 + -0.1x = -0.5x + 1.98 Reorder the terms: 7.98 + -0.1x = 1.98 + -0.5x Solving 7.98 + -0.1x = 1.98 + -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. 7.98 + -0.1x + 0.5x = 1.98 + -0.5x + 0.5x Combine like terms: -0.1x + 0.5x = 0.4x 7.98 + 0.4x = 1.98 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 7.98 + 0.4x = 1.98 + 0.0 7.98 + 0.4x = 1.98 Add '-7.98' to each side of the equation. 7.98 + -7.98 + 0.4x = 1.98 + -7.98 Combine like terms: 7.98 + -7.98 = 0.00 0.00 + 0.4x = 1.98 + -7.98 0.4x = 1.98 + -7.98 Combine like terms: 1.98 + -7.98 = -6 0.4x = -6 Divide each side by '0.4'. x = -15 Simplifying x = -15
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