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Simplifying 7x + 5 + 7(x + 1) = -5x + -7 Reorder the terms: 7x + 5 + 7(1 + x) = -5x + -7 7x + 5 + (1 * 7 + x * 7) = -5x + -7 7x + 5 + (7 + 7x) = -5x + -7 Reorder the terms: 5 + 7 + 7x + 7x = -5x + -7 Combine like terms: 5 + 7 = 12 12 + 7x + 7x = -5x + -7 Combine like terms: 7x + 7x = 14x 12 + 14x = -5x + -7 Reorder the terms: 12 + 14x = -7 + -5x Solving 12 + 14x = -7 + -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. 12 + 14x + 5x = -7 + -5x + 5x Combine like terms: 14x + 5x = 19x 12 + 19x = -7 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 19x = -7 + 0 12 + 19x = -7 Add '-12' to each side of the equation. 12 + -12 + 19x = -7 + -12 Combine like terms: 12 + -12 = 0 0 + 19x = -7 + -12 19x = -7 + -12 Combine like terms: -7 + -12 = -19 19x = -19 Divide each side by '19'. x = -1 Simplifying x = -1
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