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Simplifying 2 + 4(x + -7) = 5 + -4(x + -5) Reorder the terms: 2 + 4(-7 + x) = 5 + -4(x + -5) 2 + (-7 * 4 + x * 4) = 5 + -4(x + -5) 2 + (-28 + 4x) = 5 + -4(x + -5) Combine like terms: 2 + -28 = -26 -26 + 4x = 5 + -4(x + -5) Reorder the terms: -26 + 4x = 5 + -4(-5 + x) -26 + 4x = 5 + (-5 * -4 + x * -4) -26 + 4x = 5 + (20 + -4x) Combine like terms: 5 + 20 = 25 -26 + 4x = 25 + -4x Solving -26 + 4x = 25 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -26 + 4x + 4x = 25 + -4x + 4x Combine like terms: 4x + 4x = 8x -26 + 8x = 25 + -4x + 4x Combine like terms: -4x + 4x = 0 -26 + 8x = 25 + 0 -26 + 8x = 25 Add '26' to each side of the equation. -26 + 26 + 8x = 25 + 26 Combine like terms: -26 + 26 = 0 0 + 8x = 25 + 26 8x = 25 + 26 Combine like terms: 25 + 26 = 51 8x = 51 Divide each side by '8'. x = 6.375 Simplifying x = 6.375
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