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Simplifying 3x + -4(x + 1) = -1(6x + 8) + x Reorder the terms: 3x + -4(1 + x) = -1(6x + 8) + x 3x + (1 * -4 + x * -4) = -1(6x + 8) + x 3x + (-4 + -4x) = -1(6x + 8) + x Reorder the terms: -4 + 3x + -4x = -1(6x + 8) + x Combine like terms: 3x + -4x = -1x -4 + -1x = -1(6x + 8) + x Reorder the terms: -4 + -1x = -1(8 + 6x) + x -4 + -1x = (8 * -1 + 6x * -1) + x -4 + -1x = (-8 + -6x) + x Combine like terms: -6x + x = -5x -4 + -1x = -8 + -5x Solving -4 + -1x = -8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -4 + -1x + 5x = -8 + -5x + 5x Combine like terms: -1x + 5x = 4x -4 + 4x = -8 + -5x + 5x Combine like terms: -5x + 5x = 0 -4 + 4x = -8 + 0 -4 + 4x = -8 Add '4' to each side of the equation. -4 + 4 + 4x = -8 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = -8 + 4 4x = -8 + 4 Combine like terms: -8 + 4 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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