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Simplifying (4x + -8) + (2x + 7) = x + 4 Reorder the terms: (-8 + 4x) + (2x + 7) = x + 4 Remove parenthesis around (-8 + 4x) -8 + 4x + (2x + 7) = x + 4 Reorder the terms: -8 + 4x + (7 + 2x) = x + 4 Remove parenthesis around (7 + 2x) -8 + 4x + 7 + 2x = x + 4 Reorder the terms: -8 + 7 + 4x + 2x = x + 4 Combine like terms: -8 + 7 = -1 -1 + 4x + 2x = x + 4 Combine like terms: 4x + 2x = 6x -1 + 6x = x + 4 Reorder the terms: -1 + 6x = 4 + x Solving -1 + 6x = 4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + 6x + -1x = 4 + x + -1x Combine like terms: 6x + -1x = 5x -1 + 5x = 4 + x + -1x Combine like terms: x + -1x = 0 -1 + 5x = 4 + 0 -1 + 5x = 4 Add '1' to each side of the equation. -1 + 1 + 5x = 4 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 4 + 1 5x = 4 + 1 Combine like terms: 4 + 1 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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