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Simplifying 2 + 3(x + -4) = 9 + -4(x + -5) Reorder the terms: 2 + 3(-4 + x) = 9 + -4(x + -5) 2 + (-4 * 3 + x * 3) = 9 + -4(x + -5) 2 + (-12 + 3x) = 9 + -4(x + -5) Combine like terms: 2 + -12 = -10 -10 + 3x = 9 + -4(x + -5) Reorder the terms: -10 + 3x = 9 + -4(-5 + x) -10 + 3x = 9 + (-5 * -4 + x * -4) -10 + 3x = 9 + (20 + -4x) Combine like terms: 9 + 20 = 29 -10 + 3x = 29 + -4x Solving -10 + 3x = 29 + -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. -10 + 3x + 4x = 29 + -4x + 4x Combine like terms: 3x + 4x = 7x -10 + 7x = 29 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + 7x = 29 + 0 -10 + 7x = 29 Add '10' to each side of the equation. -10 + 10 + 7x = 29 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 29 + 10 7x = 29 + 10 Combine like terms: 29 + 10 = 39 7x = 39 Divide each side by '7'. x = 5.571428571 Simplifying x = 5.571428571
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