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Simplifying -3(9x + -1) + 8x = -7(x + 1) Reorder the terms: -3(-1 + 9x) + 8x = -7(x + 1) (-1 * -3 + 9x * -3) + 8x = -7(x + 1) (3 + -27x) + 8x = -7(x + 1) Combine like terms: -27x + 8x = -19x 3 + -19x = -7(x + 1) Reorder the terms: 3 + -19x = -7(1 + x) 3 + -19x = (1 * -7 + x * -7) 3 + -19x = (-7 + -7x) Solving 3 + -19x = -7 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 3 + -19x + 7x = -7 + -7x + 7x Combine like terms: -19x + 7x = -12x 3 + -12x = -7 + -7x + 7x Combine like terms: -7x + 7x = 0 3 + -12x = -7 + 0 3 + -12x = -7 Add '-3' to each side of the equation. 3 + -3 + -12x = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -12x = -7 + -3 -12x = -7 + -3 Combine like terms: -7 + -3 = -10 -12x = -10 Divide each side by '-12'. x = 0.8333333333 Simplifying x = 0.8333333333
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