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Simplifying 7(x + 1) = 4x + -2 Reorder the terms: 7(1 + x) = 4x + -2 (1 * 7 + x * 7) = 4x + -2 (7 + 7x) = 4x + -2 Reorder the terms: 7 + 7x = -2 + 4x Solving 7 + 7x = -2 + 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 + 7x + -4x = -2 + 4x + -4x Combine like terms: 7x + -4x = 3x 7 + 3x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 3x = -2 + 0 7 + 3x = -2 Add '-7' to each side of the equation. 7 + -7 + 3x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = -2 + -7 3x = -2 + -7 Combine like terms: -2 + -7 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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