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Simplifying 7x + -9 = -6[x + 1] + -16 Reorder the terms: -9 + 7x = -6[x + 1] + -16 Reorder the terms: -9 + 7x = -6[1 + x] + -16 -9 + 7x = [1 * -6 + x * -6] + -16 -9 + 7x = [-6 + -6x] + -16 Reorder the terms: -9 + 7x = -6 + -16 + -6x Combine like terms: -6 + -16 = -22 -9 + 7x = -22 + -6x Solving -9 + 7x = -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. -9 + 7x + 6x = -22 + -6x + 6x Combine like terms: 7x + 6x = 13x -9 + 13x = -22 + -6x + 6x Combine like terms: -6x + 6x = 0 -9 + 13x = -22 + 0 -9 + 13x = -22 Add '9' to each side of the equation. -9 + 9 + 13x = -22 + 9 Combine like terms: -9 + 9 = 0 0 + 13x = -22 + 9 13x = -22 + 9 Combine like terms: -22 + 9 = -13 13x = -13 Divide each side by '13'. x = -1 Simplifying x = -1
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