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Simplifying -2(3x + 2) + x = 5(x + -3) + -7x Reorder the terms: -2(2 + 3x) + x = 5(x + -3) + -7x (2 * -2 + 3x * -2) + x = 5(x + -3) + -7x (-4 + -6x) + x = 5(x + -3) + -7x Combine like terms: -6x + x = -5x -4 + -5x = 5(x + -3) + -7x Reorder the terms: -4 + -5x = 5(-3 + x) + -7x -4 + -5x = (-3 * 5 + x * 5) + -7x -4 + -5x = (-15 + 5x) + -7x Combine like terms: 5x + -7x = -2x -4 + -5x = -15 + -2x Solving -4 + -5x = -15 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -4 + -5x + 2x = -15 + -2x + 2x Combine like terms: -5x + 2x = -3x -4 + -3x = -15 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + -3x = -15 + 0 -4 + -3x = -15 Add '4' to each side of the equation. -4 + 4 + -3x = -15 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = -15 + 4 -3x = -15 + 4 Combine like terms: -15 + 4 = -11 -3x = -11 Divide each side by '-3'. x = 3.666666667 Simplifying x = 3.666666667
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