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Simplifying 7x + -1(4x + 5) = 8x + -10 Reorder the terms: 7x + -1(5 + 4x) = 8x + -10 7x + (5 * -1 + 4x * -1) = 8x + -10 7x + (-5 + -4x) = 8x + -10 Reorder the terms: -5 + 7x + -4x = 8x + -10 Combine like terms: 7x + -4x = 3x -5 + 3x = 8x + -10 Reorder the terms: -5 + 3x = -10 + 8x Solving -5 + 3x = -10 + 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. -5 + 3x + -8x = -10 + 8x + -8x Combine like terms: 3x + -8x = -5x -5 + -5x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -5x = -10 + 0 -5 + -5x = -10 Add '5' to each side of the equation. -5 + 5 + -5x = -10 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = -10 + 5 -5x = -10 + 5 Combine like terms: -10 + 5 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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