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Simplifying 7(x + -3) + -8 = -3(-9x + 9) + -8x Reorder the terms: 7(-3 + x) + -8 = -3(-9x + 9) + -8x (-3 * 7 + x * 7) + -8 = -3(-9x + 9) + -8x (-21 + 7x) + -8 = -3(-9x + 9) + -8x Reorder the terms: -21 + -8 + 7x = -3(-9x + 9) + -8x Combine like terms: -21 + -8 = -29 -29 + 7x = -3(-9x + 9) + -8x Reorder the terms: -29 + 7x = -3(9 + -9x) + -8x -29 + 7x = (9 * -3 + -9x * -3) + -8x -29 + 7x = (-27 + 27x) + -8x Combine like terms: 27x + -8x = 19x -29 + 7x = -27 + 19x Solving -29 + 7x = -27 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -29 + 7x + -19x = -27 + 19x + -19x Combine like terms: 7x + -19x = -12x -29 + -12x = -27 + 19x + -19x Combine like terms: 19x + -19x = 0 -29 + -12x = -27 + 0 -29 + -12x = -27 Add '29' to each side of the equation. -29 + 29 + -12x = -27 + 29 Combine like terms: -29 + 29 = 0 0 + -12x = -27 + 29 -12x = -27 + 29 Combine like terms: -27 + 29 = 2 -12x = 2 Divide each side by '-12'. x = -0.1666666667 Simplifying x = -0.1666666667
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