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Simplifying 2(4x + -5) = 3x + -45 Reorder the terms: 2(-5 + 4x) = 3x + -45 (-5 * 2 + 4x * 2) = 3x + -45 (-10 + 8x) = 3x + -45 Reorder the terms: -10 + 8x = -45 + 3x Solving -10 + 8x = -45 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 8x + -3x = -45 + 3x + -3x Combine like terms: 8x + -3x = 5x -10 + 5x = -45 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 5x = -45 + 0 -10 + 5x = -45 Add '10' to each side of the equation. -10 + 10 + 5x = -45 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = -45 + 10 5x = -45 + 10 Combine like terms: -45 + 10 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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