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Simplifying 114 = 2x + 3(5x + 4) Reorder the terms: 114 = 2x + 3(4 + 5x) 114 = 2x + (4 * 3 + 5x * 3) 114 = 2x + (12 + 15x) Reorder the terms: 114 = 12 + 2x + 15x Combine like terms: 2x + 15x = 17x 114 = 12 + 17x Solving 114 = 12 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 114 + -17x = 12 + 17x + -17x Combine like terms: 17x + -17x = 0 114 + -17x = 12 + 0 114 + -17x = 12 Add '-114' to each side of the equation. 114 + -114 + -17x = 12 + -114 Combine like terms: 114 + -114 = 0 0 + -17x = 12 + -114 -17x = 12 + -114 Combine like terms: 12 + -114 = -102 -17x = -102 Divide each side by '-17'. x = 6 Simplifying x = 6
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