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