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Simplifying 2x + 5 = 3 + 2(x + l) Reorder the terms: 5 + 2x = 3 + 2(x + l) Reorder the terms: 5 + 2x = 3 + 2(l + x) 5 + 2x = 3 + (l * 2 + x * 2) 5 + 2x = 3 + (2l + 2x) Add '-2x' to each side of the equation. 5 + 2x + -2x = 3 + 2l + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 0 = 3 + 2l + 2x + -2x 5 = 3 + 2l + 2x + -2x Combine like terms: 2x + -2x = 0 5 = 3 + 2l + 0 5 = 3 + 2l Solving 5 = 3 + 2l Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2l' to each side of the equation. 5 + -2l = 3 + 2l + -2l Combine like terms: 2l + -2l = 0 5 + -2l = 3 + 0 5 + -2l = 3 Add '-5' to each side of the equation. 5 + -5 + -2l = 3 + -5 Combine like terms: 5 + -5 = 0 0 + -2l = 3 + -5 -2l = 3 + -5 Combine like terms: 3 + -5 = -2 -2l = -2 Divide each side by '-2'. l = 1 Simplifying l = 1
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