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Simplifying -7(x + 4) = 3x + 2 Reorder the terms: -7(4 + x) = 3x + 2 (4 * -7 + x * -7) = 3x + 2 (-28 + -7x) = 3x + 2 Reorder the terms: -28 + -7x = 2 + 3x Solving -28 + -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. -28 + -7x + -3x = 2 + 3x + -3x Combine like terms: -7x + -3x = -10x -28 + -10x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -28 + -10x = 2 + 0 -28 + -10x = 2 Add '28' to each side of the equation. -28 + 28 + -10x = 2 + 28 Combine like terms: -28 + 28 = 0 0 + -10x = 2 + 28 -10x = 2 + 28 Combine like terms: 2 + 28 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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