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Simplifying 45 = 3(x + 7) + -6 Reorder the terms: 45 = 3(7 + x) + -6 45 = (7 * 3 + x * 3) + -6 45 = (21 + 3x) + -6 Reorder the terms: 45 = 21 + -6 + 3x Combine like terms: 21 + -6 = 15 45 = 15 + 3x Solving 45 = 15 + 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. 45 + -3x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 45 + -3x = 15 + 0 45 + -3x = 15 Add '-45' to each side of the equation. 45 + -45 + -3x = 15 + -45 Combine like terms: 45 + -45 = 0 0 + -3x = 15 + -45 -3x = 15 + -45 Combine like terms: 15 + -45 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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