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Simplifying x + 0.80(2) = 0.90(x + 2) Multiply 0.80 * 2 x + 1.6 = 0.90(x + 2) Reorder the terms: 1.6 + x = 0.90(x + 2) Reorder the terms: 1.6 + x = 0.90(2 + x) 1.6 + x = (2 * 0.90 + x * 0.90) 1.6 + x = (1.8 + 0.90x) Solving 1.6 + x = 1.8 + 0.90x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.90x' to each side of the equation. 1.6 + x + -0.90x = 1.8 + 0.90x + -0.90x Combine like terms: x + -0.90x = 0.1x 1.6 + 0.1x = 1.8 + 0.90x + -0.90x Combine like terms: 0.90x + -0.90x = 0.00 1.6 + 0.1x = 1.8 + 0.00 1.6 + 0.1x = 1.8 Add '-1.6' to each side of the equation. 1.6 + -1.6 + 0.1x = 1.8 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 0.1x = 1.8 + -1.6 0.1x = 1.8 + -1.6 Combine like terms: 1.8 + -1.6 = 0.2 0.1x = 0.2 Divide each side by '0.1'. x = 2 Simplifying x = 2
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