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Simplifying 2(x + 6) = 5 + -4(x + -1) Reorder the terms: 2(6 + x) = 5 + -4(x + -1) (6 * 2 + x * 2) = 5 + -4(x + -1) (12 + 2x) = 5 + -4(x + -1) Reorder the terms: 12 + 2x = 5 + -4(-1 + x) 12 + 2x = 5 + (-1 * -4 + x * -4) 12 + 2x = 5 + (4 + -4x) Combine like terms: 5 + 4 = 9 12 + 2x = 9 + -4x Solving 12 + 2x = 9 + -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. 12 + 2x + 4x = 9 + -4x + 4x Combine like terms: 2x + 4x = 6x 12 + 6x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 6x = 9 + 0 12 + 6x = 9 Add '-12' to each side of the equation. 12 + -12 + 6x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 9 + -12 6x = 9 + -12 Combine like terms: 9 + -12 = -3 6x = -3 Divide each side by '6'. x = -0.5 Simplifying x = -0.5
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