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Simplifying 9 + 4(x + -2) = 6 + -12(x + -5) Reorder the terms: 9 + 4(-2 + x) = 6 + -12(x + -5) 9 + (-2 * 4 + x * 4) = 6 + -12(x + -5) 9 + (-8 + 4x) = 6 + -12(x + -5) Combine like terms: 9 + -8 = 1 1 + 4x = 6 + -12(x + -5) Reorder the terms: 1 + 4x = 6 + -12(-5 + x) 1 + 4x = 6 + (-5 * -12 + x * -12) 1 + 4x = 6 + (60 + -12x) Combine like terms: 6 + 60 = 66 1 + 4x = 66 + -12x Solving 1 + 4x = 66 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 1 + 4x + 12x = 66 + -12x + 12x Combine like terms: 4x + 12x = 16x 1 + 16x = 66 + -12x + 12x Combine like terms: -12x + 12x = 0 1 + 16x = 66 + 0 1 + 16x = 66 Add '-1' to each side of the equation. 1 + -1 + 16x = 66 + -1 Combine like terms: 1 + -1 = 0 0 + 16x = 66 + -1 16x = 66 + -1 Combine like terms: 66 + -1 = 65 16x = 65 Divide each side by '16'. x = 4.0625 Simplifying x = 4.0625
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