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Simplifying 3(x + 6) + -3 = 51 + -3x Reorder the terms: 3(6 + x) + -3 = 51 + -3x (6 * 3 + x * 3) + -3 = 51 + -3x (18 + 3x) + -3 = 51 + -3x Reorder the terms: 18 + -3 + 3x = 51 + -3x Combine like terms: 18 + -3 = 15 15 + 3x = 51 + -3x Solving 15 + 3x = 51 + -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. 15 + 3x + 3x = 51 + -3x + 3x Combine like terms: 3x + 3x = 6x 15 + 6x = 51 + -3x + 3x Combine like terms: -3x + 3x = 0 15 + 6x = 51 + 0 15 + 6x = 51 Add '-15' to each side of the equation. 15 + -15 + 6x = 51 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = 51 + -15 6x = 51 + -15 Combine like terms: 51 + -15 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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