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Simplifying 0.25(x) + 0.30(7) = 0.26(x + 7) Multiply 0.30 * 7 0.25x + 2.1 = 0.26(x + 7) Reorder the terms: 2.1 + 0.25x = 0.26(x + 7) Reorder the terms: 2.1 + 0.25x = 0.26(7 + x) 2.1 + 0.25x = (7 * 0.26 + x * 0.26) 2.1 + 0.25x = (1.82 + 0.26x) Solving 2.1 + 0.25x = 1.82 + 0.26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.26x' to each side of the equation. 2.1 + 0.25x + -0.26x = 1.82 + 0.26x + -0.26x Combine like terms: 0.25x + -0.26x = -0.01x 2.1 + -0.01x = 1.82 + 0.26x + -0.26x Combine like terms: 0.26x + -0.26x = 0.00 2.1 + -0.01x = 1.82 + 0.00 2.1 + -0.01x = 1.82 Add '-2.1' to each side of the equation. 2.1 + -2.1 + -0.01x = 1.82 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + -0.01x = 1.82 + -2.1 -0.01x = 1.82 + -2.1 Combine like terms: 1.82 + -2.1 = -0.28 -0.01x = -0.28 Divide each side by '-0.01'. x = 28 Simplifying x = 28
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