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Simplifying 14x + -3(6 + -1x) = 8(x + -9) 14x + (6 * -3 + -1x * -3) = 8(x + -9) 14x + (-18 + 3x) = 8(x + -9) Reorder the terms: -18 + 14x + 3x = 8(x + -9) Combine like terms: 14x + 3x = 17x -18 + 17x = 8(x + -9) Reorder the terms: -18 + 17x = 8(-9 + x) -18 + 17x = (-9 * 8 + x * 8) -18 + 17x = (-72 + 8x) Solving -18 + 17x = -72 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -18 + 17x + -8x = -72 + 8x + -8x Combine like terms: 17x + -8x = 9x -18 + 9x = -72 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + 9x = -72 + 0 -18 + 9x = -72 Add '18' to each side of the equation. -18 + 18 + 9x = -72 + 18 Combine like terms: -18 + 18 = 0 0 + 9x = -72 + 18 9x = -72 + 18 Combine like terms: -72 + 18 = -54 9x = -54 Divide each side by '9'. x = -6 Simplifying x = -6
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