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Simplifying 4(2x + 4) = 10x + 15 + -2x + 1l Reorder the terms: 4(4 + 2x) = 10x + 15 + -2x + 1l (4 * 4 + 2x * 4) = 10x + 15 + -2x + 1l (16 + 8x) = 10x + 15 + -2x + 1l Reorder the terms: 16 + 8x = 15 + 1l + 10x + -2x Combine like terms: 10x + -2x = 8x 16 + 8x = 15 + 1l + 8x Add '-8x' to each side of the equation. 16 + 8x + -8x = 15 + 1l + 8x + -8x Combine like terms: 8x + -8x = 0 16 + 0 = 15 + 1l + 8x + -8x 16 = 15 + 1l + 8x + -8x Combine like terms: 8x + -8x = 0 16 = 15 + 1l + 0 16 = 15 + 1l Solving 16 = 15 + 1l Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1l' to each side of the equation. 16 + -1l = 15 + 1l + -1l Combine like terms: 1l + -1l = 0 16 + -1l = 15 + 0 16 + -1l = 15 Add '-16' to each side of the equation. 16 + -16 + -1l = 15 + -16 Combine like terms: 16 + -16 = 0 0 + -1l = 15 + -16 -1l = 15 + -16 Combine like terms: 15 + -16 = -1 -1l = -1 Divide each side by '-1'. l = 1 Simplifying l = 1
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