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Simplifying 7(x + -9) + 9 = 7x + -9(9 + -1x) Reorder the terms: 7(-9 + x) + 9 = 7x + -9(9 + -1x) (-9 * 7 + x * 7) + 9 = 7x + -9(9 + -1x) (-63 + 7x) + 9 = 7x + -9(9 + -1x) Reorder the terms: -63 + 9 + 7x = 7x + -9(9 + -1x) Combine like terms: -63 + 9 = -54 -54 + 7x = 7x + -9(9 + -1x) -54 + 7x = 7x + (9 * -9 + -1x * -9) -54 + 7x = 7x + (-81 + 9x) Reorder the terms: -54 + 7x = -81 + 7x + 9x Combine like terms: 7x + 9x = 16x -54 + 7x = -81 + 16x Solving -54 + 7x = -81 + 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. -54 + 7x + -16x = -81 + 16x + -16x Combine like terms: 7x + -16x = -9x -54 + -9x = -81 + 16x + -16x Combine like terms: 16x + -16x = 0 -54 + -9x = -81 + 0 -54 + -9x = -81 Add '54' to each side of the equation. -54 + 54 + -9x = -81 + 54 Combine like terms: -54 + 54 = 0 0 + -9x = -81 + 54 -9x = -81 + 54 Combine like terms: -81 + 54 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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