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Simplifying -7(x + 4) = 3x + 12 Reorder the terms: -7(4 + x) = 3x + 12 (4 * -7 + x * -7) = 3x + 12 (-28 + -7x) = 3x + 12 Reorder the terms: -28 + -7x = 12 + 3x Solving -28 + -7x = 12 + 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 = 12 + 3x + -3x Combine like terms: -7x + -3x = -10x -28 + -10x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -28 + -10x = 12 + 0 -28 + -10x = 12 Add '28' to each side of the equation. -28 + 28 + -10x = 12 + 28 Combine like terms: -28 + 28 = 0 0 + -10x = 12 + 28 -10x = 12 + 28 Combine like terms: 12 + 28 = 40 -10x = 40 Divide each side by '-10'. x = -4 Simplifying x = -4
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