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Simplifying -5x + 4 + 7(x + 1) = -5x + 2 Reorder the terms: -5x + 4 + 7(1 + x) = -5x + 2 -5x + 4 + (1 * 7 + x * 7) = -5x + 2 -5x + 4 + (7 + 7x) = -5x + 2 Reorder the terms: 4 + 7 + -5x + 7x = -5x + 2 Combine like terms: 4 + 7 = 11 11 + -5x + 7x = -5x + 2 Combine like terms: -5x + 7x = 2x 11 + 2x = -5x + 2 Reorder the terms: 11 + 2x = 2 + -5x Solving 11 + 2x = 2 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 11 + 2x + 5x = 2 + -5x + 5x Combine like terms: 2x + 5x = 7x 11 + 7x = 2 + -5x + 5x Combine like terms: -5x + 5x = 0 11 + 7x = 2 + 0 11 + 7x = 2 Add '-11' to each side of the equation. 11 + -11 + 7x = 2 + -11 Combine like terms: 11 + -11 = 0 0 + 7x = 2 + -11 7x = 2 + -11 Combine like terms: 2 + -11 = -9 7x = -9 Divide each side by '7'. x = -1.285714286 Simplifying x = -1.285714286
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