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Simplifying 117 = 3x + 4(3x + 3) Reorder the terms: 117 = 3x + 4(3 + 3x) 117 = 3x + (3 * 4 + 3x * 4) 117 = 3x + (12 + 12x) Reorder the terms: 117 = 12 + 3x + 12x Combine like terms: 3x + 12x = 15x 117 = 12 + 15x Solving 117 = 12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 117 + -15x = 12 + 15x + -15x Combine like terms: 15x + -15x = 0 117 + -15x = 12 + 0 117 + -15x = 12 Add '-117' to each side of the equation. 117 + -117 + -15x = 12 + -117 Combine like terms: 117 + -117 = 0 0 + -15x = 12 + -117 -15x = 12 + -117 Combine like terms: 12 + -117 = -105 -15x = -105 Divide each side by '-15'. x = 7 Simplifying x = 7
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