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Simplifying 3x + -1(x + 6) = -4(x + 1) Reorder the terms: 3x + -1(6 + x) = -4(x + 1) 3x + (6 * -1 + x * -1) = -4(x + 1) 3x + (-6 + -1x) = -4(x + 1) Reorder the terms: -6 + 3x + -1x = -4(x + 1) Combine like terms: 3x + -1x = 2x -6 + 2x = -4(x + 1) Reorder the terms: -6 + 2x = -4(1 + x) -6 + 2x = (1 * -4 + x * -4) -6 + 2x = (-4 + -4x) Solving -6 + 2x = -4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -6 + 2x + 4x = -4 + -4x + 4x Combine like terms: 2x + 4x = 6x -6 + 6x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 6x = -4 + 0 -6 + 6x = -4 Add '6' to each side of the equation. -6 + 6 + 6x = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = -4 + 6 6x = -4 + 6 Combine like terms: -4 + 6 = 2 6x = 2 Divide each side by '6'. x = 0.3333333333 Simplifying x = 0.3333333333
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