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Simplifying 1 + -1(4x + 7) = 12 + -7x Reorder the terms: 1 + -1(7 + 4x) = 12 + -7x 1 + (7 * -1 + 4x * -1) = 12 + -7x 1 + (-7 + -4x) = 12 + -7x Combine like terms: 1 + -7 = -6 -6 + -4x = 12 + -7x Solving -6 + -4x = 12 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -6 + -4x + 7x = 12 + -7x + 7x Combine like terms: -4x + 7x = 3x -6 + 3x = 12 + -7x + 7x Combine like terms: -7x + 7x = 0 -6 + 3x = 12 + 0 -6 + 3x = 12 Add '6' to each side of the equation. -6 + 6 + 3x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 12 + 6 3x = 12 + 6 Combine like terms: 12 + 6 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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