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Simplifying 3(7 + -2x) = 63 + -6(3x + 5) (7 * 3 + -2x * 3) = 63 + -6(3x + 5) (21 + -6x) = 63 + -6(3x + 5) Reorder the terms: 21 + -6x = 63 + -6(5 + 3x) 21 + -6x = 63 + (5 * -6 + 3x * -6) 21 + -6x = 63 + (-30 + -18x) Combine like terms: 63 + -30 = 33 21 + -6x = 33 + -18x Solving 21 + -6x = 33 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 21 + -6x + 18x = 33 + -18x + 18x Combine like terms: -6x + 18x = 12x 21 + 12x = 33 + -18x + 18x Combine like terms: -18x + 18x = 0 21 + 12x = 33 + 0 21 + 12x = 33 Add '-21' to each side of the equation. 21 + -21 + 12x = 33 + -21 Combine like terms: 21 + -21 = 0 0 + 12x = 33 + -21 12x = 33 + -21 Combine like terms: 33 + -21 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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