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Simplifying 8x + 42 = 2x + 114 Reorder the terms: 42 + 8x = 2x + 114 Reorder the terms: 42 + 8x = 114 + 2x Solving 42 + 8x = 114 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 42 + 8x + -2x = 114 + 2x + -2x Combine like terms: 8x + -2x = 6x 42 + 6x = 114 + 2x + -2x Combine like terms: 2x + -2x = 0 42 + 6x = 114 + 0 42 + 6x = 114 Add '-42' to each side of the equation. 42 + -42 + 6x = 114 + -42 Combine like terms: 42 + -42 = 0 0 + 6x = 114 + -42 6x = 114 + -42 Combine like terms: 114 + -42 = 72 6x = 72 Divide each side by '6'. x = 12 Simplifying x = 12
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