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Simplifying 5 + 3(x + -9) = 11 + -4(x + -8) Reorder the terms: 5 + 3(-9 + x) = 11 + -4(x + -8) 5 + (-9 * 3 + x * 3) = 11 + -4(x + -8) 5 + (-27 + 3x) = 11 + -4(x + -8) Combine like terms: 5 + -27 = -22 -22 + 3x = 11 + -4(x + -8) Reorder the terms: -22 + 3x = 11 + -4(-8 + x) -22 + 3x = 11 + (-8 * -4 + x * -4) -22 + 3x = 11 + (32 + -4x) Combine like terms: 11 + 32 = 43 -22 + 3x = 43 + -4x Solving -22 + 3x = 43 + -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. -22 + 3x + 4x = 43 + -4x + 4x Combine like terms: 3x + 4x = 7x -22 + 7x = 43 + -4x + 4x Combine like terms: -4x + 4x = 0 -22 + 7x = 43 + 0 -22 + 7x = 43 Add '22' to each side of the equation. -22 + 22 + 7x = 43 + 22 Combine like terms: -22 + 22 = 0 0 + 7x = 43 + 22 7x = 43 + 22 Combine like terms: 43 + 22 = 65 7x = 65 Divide each side by '7'. x = 9.285714286 Simplifying x = 9.285714286
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