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Simplifying -7(x + 1) + -4x + 2x = 2(-3x + 1) Reorder the terms: -7(1 + x) + -4x + 2x = 2(-3x + 1) (1 * -7 + x * -7) + -4x + 2x = 2(-3x + 1) (-7 + -7x) + -4x + 2x = 2(-3x + 1) Combine like terms: -7x + -4x = -11x -7 + -11x + 2x = 2(-3x + 1) Combine like terms: -11x + 2x = -9x -7 + -9x = 2(-3x + 1) Reorder the terms: -7 + -9x = 2(1 + -3x) -7 + -9x = (1 * 2 + -3x * 2) -7 + -9x = (2 + -6x) Solving -7 + -9x = 2 + -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. -7 + -9x + 6x = 2 + -6x + 6x Combine like terms: -9x + 6x = -3x -7 + -3x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + -3x = 2 + 0 -7 + -3x = 2 Add '7' to each side of the equation. -7 + 7 + -3x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 2 + 7 -3x = 2 + 7 Combine like terms: 2 + 7 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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