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Simplifying 5x + 4 + 3x + -1x + 7 = 6x + -8 Reorder the terms: 4 + 7 + 5x + 3x + -1x = 6x + -8 Combine like terms: 4 + 7 = 11 11 + 5x + 3x + -1x = 6x + -8 Combine like terms: 5x + 3x = 8x 11 + 8x + -1x = 6x + -8 Combine like terms: 8x + -1x = 7x 11 + 7x = 6x + -8 Reorder the terms: 11 + 7x = -8 + 6x Solving 11 + 7x = -8 + 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. 11 + 7x + -6x = -8 + 6x + -6x Combine like terms: 7x + -6x = 1x 11 + 1x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 11 + 1x = -8 + 0 11 + 1x = -8 Add '-11' to each side of the equation. 11 + -11 + 1x = -8 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = -8 + -11 1x = -8 + -11 Combine like terms: -8 + -11 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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