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Simplifying 0.15x + 35 = 0.55x + 17 Reorder the terms: 35 + 0.15x = 0.55x + 17 Reorder the terms: 35 + 0.15x = 17 + 0.55x Solving 35 + 0.15x = 17 + 0.55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.55x' to each side of the equation. 35 + 0.15x + -0.55x = 17 + 0.55x + -0.55x Combine like terms: 0.15x + -0.55x = -0.4x 35 + -0.4x = 17 + 0.55x + -0.55x Combine like terms: 0.55x + -0.55x = 0.00 35 + -0.4x = 17 + 0.00 35 + -0.4x = 17 Add '-35' to each side of the equation. 35 + -35 + -0.4x = 17 + -35 Combine like terms: 35 + -35 = 0 0 + -0.4x = 17 + -35 -0.4x = 17 + -35 Combine like terms: 17 + -35 = -18 -0.4x = -18 Divide each side by '-0.4'. x = 45 Simplifying x = 45
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