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Simplifying 5(7 + x) + -4 = -1x + 1 (7 * 5 + x * 5) + -4 = -1x + 1 (35 + 5x) + -4 = -1x + 1 Reorder the terms: 35 + -4 + 5x = -1x + 1 Combine like terms: 35 + -4 = 31 31 + 5x = -1x + 1 Reorder the terms: 31 + 5x = 1 + -1x Solving 31 + 5x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 31 + 5x + x = 1 + -1x + x Combine like terms: 5x + x = 6x 31 + 6x = 1 + -1x + x Combine like terms: -1x + x = 0 31 + 6x = 1 + 0 31 + 6x = 1 Add '-31' to each side of the equation. 31 + -31 + 6x = 1 + -31 Combine like terms: 31 + -31 = 0 0 + 6x = 1 + -31 6x = 1 + -31 Combine like terms: 1 + -31 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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