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Simplifying 3(x + -9) + 9 = 3x + -9(9 + -1x) Reorder the terms: 3(-9 + x) + 9 = 3x + -9(9 + -1x) (-9 * 3 + x * 3) + 9 = 3x + -9(9 + -1x) (-27 + 3x) + 9 = 3x + -9(9 + -1x) Reorder the terms: -27 + 9 + 3x = 3x + -9(9 + -1x) Combine like terms: -27 + 9 = -18 -18 + 3x = 3x + -9(9 + -1x) -18 + 3x = 3x + (9 * -9 + -1x * -9) -18 + 3x = 3x + (-81 + 9x) Reorder the terms: -18 + 3x = -81 + 3x + 9x Combine like terms: 3x + 9x = 12x -18 + 3x = -81 + 12x Solving -18 + 3x = -81 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -18 + 3x + -12x = -81 + 12x + -12x Combine like terms: 3x + -12x = -9x -18 + -9x = -81 + 12x + -12x Combine like terms: 12x + -12x = 0 -18 + -9x = -81 + 0 -18 + -9x = -81 Add '18' to each side of the equation. -18 + 18 + -9x = -81 + 18 Combine like terms: -18 + 18 = 0 0 + -9x = -81 + 18 -9x = -81 + 18 Combine like terms: -81 + 18 = -63 -9x = -63 Divide each side by '-9'. x = 7 Simplifying x = 7
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