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Simplifying (-6x + 5) + (4x + -7) = 5x + 8 Reorder the terms: (5 + -6x) + (4x + -7) = 5x + 8 Remove parenthesis around (5 + -6x) 5 + -6x + (4x + -7) = 5x + 8 Reorder the terms: 5 + -6x + (-7 + 4x) = 5x + 8 Remove parenthesis around (-7 + 4x) 5 + -6x + -7 + 4x = 5x + 8 Reorder the terms: 5 + -7 + -6x + 4x = 5x + 8 Combine like terms: 5 + -7 = -2 -2 + -6x + 4x = 5x + 8 Combine like terms: -6x + 4x = -2x -2 + -2x = 5x + 8 Reorder the terms: -2 + -2x = 8 + 5x Solving -2 + -2x = 8 + 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. -2 + -2x + -5x = 8 + 5x + -5x Combine like terms: -2x + -5x = -7x -2 + -7x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -7x = 8 + 0 -2 + -7x = 8 Add '2' to each side of the equation. -2 + 2 + -7x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 8 + 2 -7x = 8 + 2 Combine like terms: 8 + 2 = 10 -7x = 10 Divide each side by '-7'. x = -1.428571429 Simplifying x = -1.428571429
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