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Simplifying 9(x + -7) + 7 = 9x + -7(7 + -1x) Reorder the terms: 9(-7 + x) + 7 = 9x + -7(7 + -1x) (-7 * 9 + x * 9) + 7 = 9x + -7(7 + -1x) (-63 + 9x) + 7 = 9x + -7(7 + -1x) Reorder the terms: -63 + 7 + 9x = 9x + -7(7 + -1x) Combine like terms: -63 + 7 = -56 -56 + 9x = 9x + -7(7 + -1x) -56 + 9x = 9x + (7 * -7 + -1x * -7) -56 + 9x = 9x + (-49 + 7x) Reorder the terms: -56 + 9x = -49 + 9x + 7x Combine like terms: 9x + 7x = 16x -56 + 9x = -49 + 16x Solving -56 + 9x = -49 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -56 + 9x + -16x = -49 + 16x + -16x Combine like terms: 9x + -16x = -7x -56 + -7x = -49 + 16x + -16x Combine like terms: 16x + -16x = 0 -56 + -7x = -49 + 0 -56 + -7x = -49 Add '56' to each side of the equation. -56 + 56 + -7x = -49 + 56 Combine like terms: -56 + 56 = 0 0 + -7x = -49 + 56 -7x = -49 + 56 Combine like terms: -49 + 56 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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