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Simplifying 3x + 45 = 6(x + 9) Reorder the terms: 45 + 3x = 6(x + 9) Reorder the terms: 45 + 3x = 6(9 + x) 45 + 3x = (9 * 6 + x * 6) 45 + 3x = (54 + 6x) Solving 45 + 3x = 54 + 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 + 3x + -6x = 54 + 6x + -6x Combine like terms: 3x + -6x = -3x 45 + -3x = 54 + 6x + -6x Combine like terms: 6x + -6x = 0 45 + -3x = 54 + 0 45 + -3x = 54 Add '-45' to each side of the equation. 45 + -45 + -3x = 54 + -45 Combine like terms: 45 + -45 = 0 0 + -3x = 54 + -45 -3x = 54 + -45 Combine like terms: 54 + -45 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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