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Simplifying -4(x + 1) = -3(9x + -2) + 8x Reorder the terms: -4(1 + x) = -3(9x + -2) + 8x (1 * -4 + x * -4) = -3(9x + -2) + 8x (-4 + -4x) = -3(9x + -2) + 8x Reorder the terms: -4 + -4x = -3(-2 + 9x) + 8x -4 + -4x = (-2 * -3 + 9x * -3) + 8x -4 + -4x = (6 + -27x) + 8x Combine like terms: -27x + 8x = -19x -4 + -4x = 6 + -19x Solving -4 + -4x = 6 + -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. -4 + -4x + 19x = 6 + -19x + 19x Combine like terms: -4x + 19x = 15x -4 + 15x = 6 + -19x + 19x Combine like terms: -19x + 19x = 0 -4 + 15x = 6 + 0 -4 + 15x = 6 Add '4' to each side of the equation. -4 + 4 + 15x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 15x = 6 + 4 15x = 6 + 4 Combine like terms: 6 + 4 = 10 15x = 10 Divide each side by '15'. x = 0.6666666667 Simplifying x = 0.6666666667
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