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Simplifying 0.10(x + 5) + 0.25x = 2.95 Reorder the terms: 0.10(5 + x) + 0.25x = 2.95 (5 * 0.10 + x * 0.10) + 0.25x = 2.95 (0.5 + 0.10x) + 0.25x = 2.95 Combine like terms: 0.10x + 0.25x = 0.35x 0.5 + 0.35x = 2.95 Solving 0.5 + 0.35x = 2.95 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.35x = 2.95 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.35x = 2.95 + -0.5 0.35x = 2.95 + -0.5 Combine like terms: 2.95 + -0.5 = 2.45 0.35x = 2.45 Divide each side by '0.35'. x = 7 Simplifying x = 7
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