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Simplifying 74 = 3x + 2(6x + -8) Reorder the terms: 74 = 3x + 2(-8 + 6x) 74 = 3x + (-8 * 2 + 6x * 2) 74 = 3x + (-16 + 12x) Reorder the terms: 74 = -16 + 3x + 12x Combine like terms: 3x + 12x = 15x 74 = -16 + 15x Solving 74 = -16 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 74 + -15x = -16 + 15x + -15x Combine like terms: 15x + -15x = 0 74 + -15x = -16 + 0 74 + -15x = -16 Add '-74' to each side of the equation. 74 + -74 + -15x = -16 + -74 Combine like terms: 74 + -74 = 0 0 + -15x = -16 + -74 -15x = -16 + -74 Combine like terms: -16 + -74 = -90 -15x = -90 Divide each side by '-15'. x = 6 Simplifying x = 6
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