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Simplifying 74 + 8x = 2(57 + (-6x)) 74 + 8x = (57 * 2 + (-6x) * 2) 74 + 8x = (114 + -12x) Solving 74 + 8x = 114 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 74 + 8x + 12x = 114 + -12x + 12x Combine like terms: 8x + 12x = 20x 74 + 20x = 114 + -12x + 12x Combine like terms: -12x + 12x = 0 74 + 20x = 114 + 0 74 + 20x = 114 Add '-74' to each side of the equation. 74 + -74 + 20x = 114 + -74 Combine like terms: 74 + -74 = 0 0 + 20x = 114 + -74 20x = 114 + -74 Combine like terms: 114 + -74 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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