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Simplifying 3x + -1(8x + 5) = 5x + -45 Reorder the terms: 3x + -1(5 + 8x) = 5x + -45 3x + (5 * -1 + 8x * -1) = 5x + -45 3x + (-5 + -8x) = 5x + -45 Reorder the terms: -5 + 3x + -8x = 5x + -45 Combine like terms: 3x + -8x = -5x -5 + -5x = 5x + -45 Reorder the terms: -5 + -5x = -45 + 5x Solving -5 + -5x = -45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + -5x + -5x = -45 + 5x + -5x Combine like terms: -5x + -5x = -10x -5 + -10x = -45 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -10x = -45 + 0 -5 + -10x = -45 Add '5' to each side of the equation. -5 + 5 + -10x = -45 + 5 Combine like terms: -5 + 5 = 0 0 + -10x = -45 + 5 -10x = -45 + 5 Combine like terms: -45 + 5 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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