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Simplifying 2(x + 1) = 6 + -4(x + -5) Reorder the terms: 2(1 + x) = 6 + -4(x + -5) (1 * 2 + x * 2) = 6 + -4(x + -5) (2 + 2x) = 6 + -4(x + -5) Reorder the terms: 2 + 2x = 6 + -4(-5 + x) 2 + 2x = 6 + (-5 * -4 + x * -4) 2 + 2x = 6 + (20 + -4x) Combine like terms: 6 + 20 = 26 2 + 2x = 26 + -4x Solving 2 + 2x = 26 + -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. 2 + 2x + 4x = 26 + -4x + 4x Combine like terms: 2x + 4x = 6x 2 + 6x = 26 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 6x = 26 + 0 2 + 6x = 26 Add '-2' to each side of the equation. 2 + -2 + 6x = 26 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 26 + -2 6x = 26 + -2 Combine like terms: 26 + -2 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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