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Simplifying 2x + -3(x + 1) = -1(7x + 3) + x Reorder the terms: 2x + -3(1 + x) = -1(7x + 3) + x 2x + (1 * -3 + x * -3) = -1(7x + 3) + x 2x + (-3 + -3x) = -1(7x + 3) + x Reorder the terms: -3 + 2x + -3x = -1(7x + 3) + x Combine like terms: 2x + -3x = -1x -3 + -1x = -1(7x + 3) + x Reorder the terms: -3 + -1x = -1(3 + 7x) + x -3 + -1x = (3 * -1 + 7x * -1) + x -3 + -1x = (-3 + -7x) + x Combine like terms: -7x + x = -6x -3 + -1x = -3 + -6x Add '3' to each side of the equation. -3 + 3 + -1x = -3 + 3 + -6x Combine like terms: -3 + 3 = 0 0 + -1x = -3 + 3 + -6x -1x = -3 + 3 + -6x Combine like terms: -3 + 3 = 0 -1x = 0 + -6x -1x = -6x Solving -1x = -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. -1x + 6x = -6x + 6x Combine like terms: -1x + 6x = 5x 5x = -6x + 6x Combine like terms: -6x + 6x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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