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Simplifying 3 + 7(7 + -3x) = -38 + -3x 3 + (7 * 7 + -3x * 7) = -38 + -3x 3 + (49 + -21x) = -38 + -3x Combine like terms: 3 + 49 = 52 52 + -21x = -38 + -3x Solving 52 + -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. 52 + -21x + 3x = -38 + -3x + 3x Combine like terms: -21x + 3x = -18x 52 + -18x = -38 + -3x + 3x Combine like terms: -3x + 3x = 0 52 + -18x = -38 + 0 52 + -18x = -38 Add '-52' to each side of the equation. 52 + -52 + -18x = -38 + -52 Combine like terms: 52 + -52 = 0 0 + -18x = -38 + -52 -18x = -38 + -52 Combine like terms: -38 + -52 = -90 -18x = -90 Divide each side by '-18'. x = 5 Simplifying x = 5
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