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Simplifying 7x + 114 = (3x + 16) * 2 Reorder the terms: 114 + 7x = (3x + 16) * 2 Reorder the terms: 114 + 7x = (16 + 3x) * 2 Reorder the terms for easier multiplication: 114 + 7x = 2(16 + 3x) 114 + 7x = (16 * 2 + 3x * 2) 114 + 7x = (32 + 6x) Solving 114 + 7x = 32 + 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. 114 + 7x + -6x = 32 + 6x + -6x Combine like terms: 7x + -6x = 1x 114 + 1x = 32 + 6x + -6x Combine like terms: 6x + -6x = 0 114 + 1x = 32 + 0 114 + 1x = 32 Add '-114' to each side of the equation. 114 + -114 + 1x = 32 + -114 Combine like terms: 114 + -114 = 0 0 + 1x = 32 + -114 1x = 32 + -114 Combine like terms: 32 + -114 = -82 1x = -82 Divide each side by '1'. x = -82 Simplifying x = -82
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