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Simplifying 45 = 3(2x + 7) Reorder the terms: 45 = 3(7 + 2x) 45 = (7 * 3 + 2x * 3) 45 = (21 + 6x) Solving 45 = 21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 45 + -6x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 45 + -6x = 21 + 0 45 + -6x = 21 Add '-45' to each side of the equation. 45 + -45 + -6x = 21 + -45 Combine like terms: 45 + -45 = 0 0 + -6x = 21 + -45 -6x = 21 + -45 Combine like terms: 21 + -45 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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