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Simplifying 4x + 7(1 + x) = 4x + -28 4x + (1 * 7 + x * 7) = 4x + -28 4x + (7 + 7x) = 4x + -28 Reorder the terms: 7 + 4x + 7x = 4x + -28 Combine like terms: 4x + 7x = 11x 7 + 11x = 4x + -28 Reorder the terms: 7 + 11x = -28 + 4x Solving 7 + 11x = -28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + 11x + -4x = -28 + 4x + -4x Combine like terms: 11x + -4x = 7x 7 + 7x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 7x = -28 + 0 7 + 7x = -28 Add '-7' to each side of the equation. 7 + -7 + 7x = -28 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = -28 + -7 7x = -28 + -7 Combine like terms: -28 + -7 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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