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Simplifying 74 = 3x + -2(-2x + -16) Reorder the terms: 74 = 3x + -2(-16 + -2x) 74 = 3x + (-16 * -2 + -2x * -2) 74 = 3x + (32 + 4x) Reorder the terms: 74 = 32 + 3x + 4x Combine like terms: 3x + 4x = 7x 74 = 32 + 7x Solving 74 = 32 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 74 + -7x = 32 + 7x + -7x Combine like terms: 7x + -7x = 0 74 + -7x = 32 + 0 74 + -7x = 32 Add '-74' to each side of the equation. 74 + -74 + -7x = 32 + -74 Combine like terms: 74 + -74 = 0 0 + -7x = 32 + -74 -7x = 32 + -74 Combine like terms: 32 + -74 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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