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Simplifying X + 0.9(x + 2) + 0.10(x + 3) = 280 Reorder the terms: X + 0.9(2 + x) + 0.10(x + 3) = 280 X + (2 * 0.9 + x * 0.9) + 0.10(x + 3) = 280 X + (1.8 + 0.9x) + 0.10(x + 3) = 280 Reorder the terms: X + 1.8 + 0.9x + 0.10(3 + x) = 280 X + 1.8 + 0.9x + (3 * 0.10 + x * 0.10) = 280 X + 1.8 + 0.9x + (0.3 + 0.10x) = 280 Reorder the terms: 1.8 + 0.3 + X + 0.9x + 0.10x = 280 Combine like terms: 1.8 + 0.3 = 2.1 2.1 + X + 0.9x + 0.10x = 280 Combine like terms: 0.9x + 0.10x = 1x 2.1 + X + 1x = 280 Solving 2.1 + X + 1x = 280 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2.1' to each side of the equation. 2.1 + X + -2.1 + 1x = 280 + -2.1 Reorder the terms: 2.1 + -2.1 + X + 1x = 280 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + X + 1x = 280 + -2.1 X + 1x = 280 + -2.1 Combine like terms: 280 + -2.1 = 277.9 X + 1x = 277.9 Add '-1x' to each side of the equation. X + 1x + -1x = 277.9 + -1x Combine like terms: 1x + -1x = 0 X + 0 = 277.9 + -1x X = 277.9 + -1x Simplifying X = 277.9 + -1x
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