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Simplifying 6(4x + 5) = 3(x + 8) * 13 Reorder the terms: 6(5 + 4x) = 3(x + 8) * 13 (5 * 6 + 4x * 6) = 3(x + 8) * 13 (30 + 24x) = 3(x + 8) * 13 Reorder the terms: 30 + 24x = 3(8 + x) * 13 Reorder the terms for easier multiplication: 30 + 24x = 3 * 13(8 + x) Multiply 3 * 13 30 + 24x = 39(8 + x) 30 + 24x = (8 * 39 + x * 39) 30 + 24x = (312 + 39x) Solving 30 + 24x = 312 + 39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39x' to each side of the equation. 30 + 24x + -39x = 312 + 39x + -39x Combine like terms: 24x + -39x = -15x 30 + -15x = 312 + 39x + -39x Combine like terms: 39x + -39x = 0 30 + -15x = 312 + 0 30 + -15x = 312 Add '-30' to each side of the equation. 30 + -30 + -15x = 312 + -30 Combine like terms: 30 + -30 = 0 0 + -15x = 312 + -30 -15x = 312 + -30 Combine like terms: 312 + -30 = 282 -15x = 282 Divide each side by '-15'. x = -18.8 Simplifying x = -18.8
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