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Simplifying 7 + -1(3x + 12) = 22 + -6x Reorder the terms: 7 + -1(12 + 3x) = 22 + -6x 7 + (12 * -1 + 3x * -1) = 22 + -6x 7 + (-12 + -3x) = 22 + -6x Combine like terms: 7 + -12 = -5 -5 + -3x = 22 + -6x Solving -5 + -3x = 22 + -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. -5 + -3x + 6x = 22 + -6x + 6x Combine like terms: -3x + 6x = 3x -5 + 3x = 22 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 3x = 22 + 0 -5 + 3x = 22 Add '5' to each side of the equation. -5 + 5 + 3x = 22 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 22 + 5 3x = 22 + 5 Combine like terms: 22 + 5 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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