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