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Simplifying 2(4x + -5) = 7x + -5 Reorder the terms: 2(-5 + 4x) = 7x + -5 (-5 * 2 + 4x * 2) = 7x + -5 (-10 + 8x) = 7x + -5 Reorder the terms: -10 + 8x = -5 + 7x Solving -10 + 8x = -5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -10 + 8x + -7x = -5 + 7x + -7x Combine like terms: 8x + -7x = 1x -10 + 1x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + 1x = -5 + 0 -10 + 1x = -5 Add '10' to each side of the equation. -10 + 10 + 1x = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -5 + 10 1x = -5 + 10 Combine like terms: -5 + 10 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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