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Simplifying 8.2x + 13 = 1.4x + 19.8 Reorder the terms: 13 + 8.2x = 1.4x + 19.8 Reorder the terms: 13 + 8.2x = 19.8 + 1.4x Solving 13 + 8.2x = 19.8 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. 13 + 8.2x + -1.4x = 19.8 + 1.4x + -1.4x Combine like terms: 8.2x + -1.4x = 6.8x 13 + 6.8x = 19.8 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 13 + 6.8x = 19.8 + 0.0 13 + 6.8x = 19.8 Add '-13' to each side of the equation. 13 + -13 + 6.8x = 19.8 + -13 Combine like terms: 13 + -13 = 0 0 + 6.8x = 19.8 + -13 6.8x = 19.8 + -13 Combine like terms: 19.8 + -13 = 6.8 6.8x = 6.8 Divide each side by '6.8'. x = 1 Simplifying x = 1
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