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Simplifying 3(x + -1) + -5x = 1 + -7(2 + x) Reorder the terms: 3(-1 + x) + -5x = 1 + -7(2 + x) (-1 * 3 + x * 3) + -5x = 1 + -7(2 + x) (-3 + 3x) + -5x = 1 + -7(2 + x) Combine like terms: 3x + -5x = -2x -3 + -2x = 1 + -7(2 + x) -3 + -2x = 1 + (2 * -7 + x * -7) -3 + -2x = 1 + (-14 + -7x) Combine like terms: 1 + -14 = -13 -3 + -2x = -13 + -7x Solving -3 + -2x = -13 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -3 + -2x + 7x = -13 + -7x + 7x Combine like terms: -2x + 7x = 5x -3 + 5x = -13 + -7x + 7x Combine like terms: -7x + 7x = 0 -3 + 5x = -13 + 0 -3 + 5x = -13 Add '3' to each side of the equation. -3 + 3 + 5x = -13 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = -13 + 3 5x = -13 + 3 Combine like terms: -13 + 3 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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