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Simplifying -5x + -7 + 5(x + 1) = 6x + 2 Reorder the terms: -5x + -7 + 5(1 + x) = 6x + 2 -5x + -7 + (1 * 5 + x * 5) = 6x + 2 -5x + -7 + (5 + 5x) = 6x + 2 Reorder the terms: -7 + 5 + -5x + 5x = 6x + 2 Combine like terms: -7 + 5 = -2 -2 + -5x + 5x = 6x + 2 Combine like terms: -5x + 5x = 0 -2 + 0 = 6x + 2 -2 = 6x + 2 Reorder the terms: -2 = 2 + 6x Solving -2 = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + -6x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -6x = 2 + 0 -2 + -6x = 2 Add '2' to each side of the equation. -2 + 2 + -6x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 2 + 2 -6x = 2 + 2 Combine like terms: 2 + 2 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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