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Simplifying -7(x + 2) + 3x = -3(2x + -3) + x Reorder the terms: -7(2 + x) + 3x = -3(2x + -3) + x (2 * -7 + x * -7) + 3x = -3(2x + -3) + x (-14 + -7x) + 3x = -3(2x + -3) + x Combine like terms: -7x + 3x = -4x -14 + -4x = -3(2x + -3) + x Reorder the terms: -14 + -4x = -3(-3 + 2x) + x -14 + -4x = (-3 * -3 + 2x * -3) + x -14 + -4x = (9 + -6x) + x Combine like terms: -6x + x = -5x -14 + -4x = 9 + -5x Solving -14 + -4x = 9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -14 + -4x + 5x = 9 + -5x + 5x Combine like terms: -4x + 5x = 1x -14 + 1x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 -14 + 1x = 9 + 0 -14 + 1x = 9 Add '14' to each side of the equation. -14 + 14 + 1x = 9 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 9 + 14 1x = 9 + 14 Combine like terms: 9 + 14 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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