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Simplifying 9 + 4(x + -2) = 11 + -4(x + -5) Reorder the terms: 9 + 4(-2 + x) = 11 + -4(x + -5) 9 + (-2 * 4 + x * 4) = 11 + -4(x + -5) 9 + (-8 + 4x) = 11 + -4(x + -5) Combine like terms: 9 + -8 = 1 1 + 4x = 11 + -4(x + -5) Reorder the terms: 1 + 4x = 11 + -4(-5 + x) 1 + 4x = 11 + (-5 * -4 + x * -4) 1 + 4x = 11 + (20 + -4x) Combine like terms: 11 + 20 = 31 1 + 4x = 31 + -4x Solving 1 + 4x = 31 + -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. 1 + 4x + 4x = 31 + -4x + 4x Combine like terms: 4x + 4x = 8x 1 + 8x = 31 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 8x = 31 + 0 1 + 8x = 31 Add '-1' to each side of the equation. 1 + -1 + 8x = 31 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 31 + -1 8x = 31 + -1 Combine like terms: 31 + -1 = 30 8x = 30 Divide each side by '8'. x = 3.75 Simplifying x = 3.75
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