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Simplifying 6(4x + 5) = 3(x + -8) + 3 Reorder the terms: 6(5 + 4x) = 3(x + -8) + 3 (5 * 6 + 4x * 6) = 3(x + -8) + 3 (30 + 24x) = 3(x + -8) + 3 Reorder the terms: 30 + 24x = 3(-8 + x) + 3 30 + 24x = (-8 * 3 + x * 3) + 3 30 + 24x = (-24 + 3x) + 3 Reorder the terms: 30 + 24x = -24 + 3 + 3x Combine like terms: -24 + 3 = -21 30 + 24x = -21 + 3x Solving 30 + 24x = -21 + 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 = -21 + 3x + -3x Combine like terms: 24x + -3x = 21x 30 + 21x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + 21x = -21 + 0 30 + 21x = -21 Add '-30' to each side of the equation. 30 + -30 + 21x = -21 + -30 Combine like terms: 30 + -30 = 0 0 + 21x = -21 + -30 21x = -21 + -30 Combine like terms: -21 + -30 = -51 21x = -51 Divide each side by '21'. x = -2.428571429 Simplifying x = -2.428571429
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