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