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Simplifying -5 + -6x = -1 + 7(x + 5) Reorder the terms: -5 + -6x = -1 + 7(5 + x) -5 + -6x = -1 + (5 * 7 + x * 7) -5 + -6x = -1 + (35 + 7x) Combine like terms: -1 + 35 = 34 -5 + -6x = 34 + 7x Solving -5 + -6x = 34 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -5 + -6x + -7x = 34 + 7x + -7x Combine like terms: -6x + -7x = -13x -5 + -13x = 34 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -13x = 34 + 0 -5 + -13x = 34 Add '5' to each side of the equation. -5 + 5 + -13x = 34 + 5 Combine like terms: -5 + 5 = 0 0 + -13x = 34 + 5 -13x = 34 + 5 Combine like terms: 34 + 5 = 39 -13x = 39 Divide each side by '-13'. x = -3 Simplifying x = -3
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