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Simplifying 40 = 3x + 6(3x + -5) + -14 Reorder the terms: 40 = 3x + 6(-5 + 3x) + -14 40 = 3x + (-5 * 6 + 3x * 6) + -14 40 = 3x + (-30 + 18x) + -14 Reorder the terms: 40 = -30 + -14 + 3x + 18x Combine like terms: -30 + -14 = -44 40 = -44 + 3x + 18x Combine like terms: 3x + 18x = 21x 40 = -44 + 21x Solving 40 = -44 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 40 + -21x = -44 + 21x + -21x Combine like terms: 21x + -21x = 0 40 + -21x = -44 + 0 40 + -21x = -44 Add '-40' to each side of the equation. 40 + -40 + -21x = -44 + -40 Combine like terms: 40 + -40 = 0 0 + -21x = -44 + -40 -21x = -44 + -40 Combine like terms: -44 + -40 = -84 -21x = -84 Divide each side by '-21'. x = 4 Simplifying x = 4
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