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Simplifying 114 = 3x + 6(x + 7) Reorder the terms: 114 = 3x + 6(7 + x) 114 = 3x + (7 * 6 + x * 6) 114 = 3x + (42 + 6x) Reorder the terms: 114 = 42 + 3x + 6x Combine like terms: 3x + 6x = 9x 114 = 42 + 9x Solving 114 = 42 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 114 + -9x = 42 + 9x + -9x Combine like terms: 9x + -9x = 0 114 + -9x = 42 + 0 114 + -9x = 42 Add '-114' to each side of the equation. 114 + -114 + -9x = 42 + -114 Combine like terms: 114 + -114 = 0 0 + -9x = 42 + -114 -9x = 42 + -114 Combine like terms: 42 + -114 = -72 -9x = -72 Divide each side by '-9'. x = 8 Simplifying x = 8
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