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Simplifying -74 = 5x + 3(-5x + -8) Reorder the terms: -74 = 5x + 3(-8 + -5x) -74 = 5x + (-8 * 3 + -5x * 3) -74 = 5x + (-24 + -15x) Reorder the terms: -74 = -24 + 5x + -15x Combine like terms: 5x + -15x = -10x -74 = -24 + -10x Solving -74 = -24 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -74 + 10x = -24 + -10x + 10x Combine like terms: -10x + 10x = 0 -74 + 10x = -24 + 0 -74 + 10x = -24 Add '74' to each side of the equation. -74 + 74 + 10x = -24 + 74 Combine like terms: -74 + 74 = 0 0 + 10x = -24 + 74 10x = -24 + 74 Combine like terms: -24 + 74 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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