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Simplifying 7(2 + -3x) = 3x + 38 (2 * 7 + -3x * 7) = 3x + 38 (14 + -21x) = 3x + 38 Reorder the terms: 14 + -21x = 38 + 3x Solving 14 + -21x = 38 + 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. 14 + -21x + -3x = 38 + 3x + -3x Combine like terms: -21x + -3x = -24x 14 + -24x = 38 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + -24x = 38 + 0 14 + -24x = 38 Add '-14' to each side of the equation. 14 + -14 + -24x = 38 + -14 Combine like terms: 14 + -14 = 0 0 + -24x = 38 + -14 -24x = 38 + -14 Combine like terms: 38 + -14 = 24 -24x = 24 Divide each side by '-24'. x = -1 Simplifying x = -1
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