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Simplifying 7(x + 4) = 8 + -3x Reorder the terms: 7(4 + x) = 8 + -3x (4 * 7 + x * 7) = 8 + -3x (28 + 7x) = 8 + -3x Solving 28 + 7x = 8 + -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 = 8 + -3x + 3x Combine like terms: 7x + 3x = 10x 28 + 10x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 28 + 10x = 8 + 0 28 + 10x = 8 Add '-28' to each side of the equation. 28 + -28 + 10x = 8 + -28 Combine like terms: 28 + -28 = 0 0 + 10x = 8 + -28 10x = 8 + -28 Combine like terms: 8 + -28 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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