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Simplifying 6(4x + 5) = (3x + 8) + 3 Reorder the terms: 6(5 + 4x) = (3x + 8) + 3 (5 * 6 + 4x * 6) = (3x + 8) + 3 (30 + 24x) = (3x + 8) + 3 Reorder the terms: 30 + 24x = (8 + 3x) + 3 Remove parenthesis around (8 + 3x) 30 + 24x = 8 + 3x + 3 Reorder the terms: 30 + 24x = 8 + 3 + 3x Combine like terms: 8 + 3 = 11 30 + 24x = 11 + 3x Solving 30 + 24x = 11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 30 + 24x + -3x = 11 + 3x + -3x Combine like terms: 24x + -3x = 21x 30 + 21x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + 21x = 11 + 0 30 + 21x = 11 Add '-30' to each side of the equation. 30 + -30 + 21x = 11 + -30 Combine like terms: 30 + -30 = 0 0 + 21x = 11 + -30 21x = 11 + -30 Combine like terms: 11 + -30 = -19 21x = -19 Divide each side by '21'. x = -0.9047619048 Simplifying x = -0.9047619048
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