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