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Simplifying 2(2x + 5) + 2L = 18x + 6 Reorder the terms: 2(5 + 2x) + 2L = 18x + 6 (5 * 2 + 2x * 2) + 2L = 18x + 6 (10 + 4x) + 2L = 18x + 6 Reorder the terms: 10 + 2L + 4x = 18x + 6 Reorder the terms: 10 + 2L + 4x = 6 + 18x Solving 10 + 2L + 4x = 6 + 18x Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 2L + -10 + 4x = 6 + -10 + 18x Reorder the terms: 10 + -10 + 2L + 4x = 6 + -10 + 18x Combine like terms: 10 + -10 = 0 0 + 2L + 4x = 6 + -10 + 18x 2L + 4x = 6 + -10 + 18x Combine like terms: 6 + -10 = -4 2L + 4x = -4 + 18x Add '-4x' to each side of the equation. 2L + 4x + -4x = -4 + 18x + -4x Combine like terms: 4x + -4x = 0 2L + 0 = -4 + 18x + -4x 2L = -4 + 18x + -4x Combine like terms: 18x + -4x = 14x 2L = -4 + 14x Divide each side by '2'. L = -2 + 7x Simplifying L = -2 + 7x
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