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Simplifying 7(x + -4) + 2 = 3x + -2 Reorder the terms: 7(-4 + x) + 2 = 3x + -2 (-4 * 7 + x * 7) + 2 = 3x + -2 (-28 + 7x) + 2 = 3x + -2 Reorder the terms: -28 + 2 + 7x = 3x + -2 Combine like terms: -28 + 2 = -26 -26 + 7x = 3x + -2 Reorder the terms: -26 + 7x = -2 + 3x Solving -26 + 7x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -26 + 7x + -3x = -2 + 3x + -3x Combine like terms: 7x + -3x = 4x -26 + 4x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -26 + 4x = -2 + 0 -26 + 4x = -2 Add '26' to each side of the equation. -26 + 26 + 4x = -2 + 26 Combine like terms: -26 + 26 = 0 0 + 4x = -2 + 26 4x = -2 + 26 Combine like terms: -2 + 26 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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