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Simplifying 1.7 = 0.25x + 0.1(x + 3) Reorder the terms: 1.7 = 0.25x + 0.1(3 + x) 1.7 = 0.25x + (3 * 0.1 + x * 0.1) 1.7 = 0.25x + (0.3 + 0.1x) Reorder the terms: 1.7 = 0.3 + 0.25x + 0.1x Combine like terms: 0.25x + 0.1x = 0.35x 1.7 = 0.3 + 0.35x Solving 1.7 = 0.3 + 0.35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.35x' to each side of the equation. 1.7 + -0.35x = 0.3 + 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 0.00 1.7 + -0.35x = 0.3 + 0.00 1.7 + -0.35x = 0.3 Add '-1.7' to each side of the equation. 1.7 + -1.7 + -0.35x = 0.3 + -1.7 Combine like terms: 1.7 + -1.7 = 0.0 0.0 + -0.35x = 0.3 + -1.7 -0.35x = 0.3 + -1.7 Combine like terms: 0.3 + -1.7 = -1.4 -0.35x = -1.4 Divide each side by '-0.35'. x = 4 Simplifying x = 4
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