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Simplifying 7(4x + 1) = -7x + -28 Reorder the terms: 7(1 + 4x) = -7x + -28 (1 * 7 + 4x * 7) = -7x + -28 (7 + 28x) = -7x + -28 Reorder the terms: 7 + 28x = -28 + -7x Solving 7 + 28x = -28 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 7 + 28x + 7x = -28 + -7x + 7x Combine like terms: 28x + 7x = 35x 7 + 35x = -28 + -7x + 7x Combine like terms: -7x + 7x = 0 7 + 35x = -28 + 0 7 + 35x = -28 Add '-7' to each side of the equation. 7 + -7 + 35x = -28 + -7 Combine like terms: 7 + -7 = 0 0 + 35x = -28 + -7 35x = -28 + -7 Combine like terms: -28 + -7 = -35 35x = -35 Divide each side by '35'. x = -1 Simplifying x = -1
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