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Simplifying 74 = -2x + -5(x + 2) Reorder the terms: 74 = -2x + -5(2 + x) 74 = -2x + (2 * -5 + x * -5) 74 = -2x + (-10 + -5x) Reorder the terms: 74 = -10 + -2x + -5x Combine like terms: -2x + -5x = -7x 74 = -10 + -7x Solving 74 = -10 + -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 = -10 + -7x + 7x Combine like terms: -7x + 7x = 0 74 + 7x = -10 + 0 74 + 7x = -10 Add '-74' to each side of the equation. 74 + -74 + 7x = -10 + -74 Combine like terms: 74 + -74 = 0 0 + 7x = -10 + -74 7x = -10 + -74 Combine like terms: -10 + -74 = -84 7x = -84 Divide each side by '7'. x = -12 Simplifying x = -12
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