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Simplifying 5x + 3 + x + -4x + 5 = -7 + -8x + 2 + 6x + 5 Reorder the terms: 3 + 5 + 5x + x + -4x = -7 + -8x + 2 + 6x + 5 Combine like terms: 3 + 5 = 8 8 + 5x + x + -4x = -7 + -8x + 2 + 6x + 5 Combine like terms: 5x + x = 6x 8 + 6x + -4x = -7 + -8x + 2 + 6x + 5 Combine like terms: 6x + -4x = 2x 8 + 2x = -7 + -8x + 2 + 6x + 5 Reorder the terms: 8 + 2x = -7 + 2 + 5 + -8x + 6x Combine like terms: -7 + 2 = -5 8 + 2x = -5 + 5 + -8x + 6x Combine like terms: -5 + 5 = 0 8 + 2x = 0 + -8x + 6x 8 + 2x = -8x + 6x Combine like terms: -8x + 6x = -2x 8 + 2x = -2x Solving 8 + 2x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 8 + 2x + 2x = -2x + 2x Combine like terms: 2x + 2x = 4x 8 + 4x = -2x + 2x Combine like terms: -2x + 2x = 0 8 + 4x = 0 Add '-8' to each side of the equation. 8 + -8 + 4x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 0 + -8 4x = 0 + -8 Combine like terms: 0 + -8 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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