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Simplifying 5x + -6 + 2x + 8 + -3x + -10 = 4x + -2 + 5x + 4 + 7x + -7 Reorder the terms: -6 + 8 + -10 + 5x + 2x + -3x = 4x + -2 + 5x + 4 + 7x + -7 Combine like terms: -6 + 8 = 2 2 + -10 + 5x + 2x + -3x = 4x + -2 + 5x + 4 + 7x + -7 Combine like terms: 2 + -10 = -8 -8 + 5x + 2x + -3x = 4x + -2 + 5x + 4 + 7x + -7 Combine like terms: 5x + 2x = 7x -8 + 7x + -3x = 4x + -2 + 5x + 4 + 7x + -7 Combine like terms: 7x + -3x = 4x -8 + 4x = 4x + -2 + 5x + 4 + 7x + -7 Reorder the terms: -8 + 4x = -2 + 4 + -7 + 4x + 5x + 7x Combine like terms: -2 + 4 = 2 -8 + 4x = 2 + -7 + 4x + 5x + 7x Combine like terms: 2 + -7 = -5 -8 + 4x = -5 + 4x + 5x + 7x Combine like terms: 4x + 5x = 9x -8 + 4x = -5 + 9x + 7x Combine like terms: 9x + 7x = 16x -8 + 4x = -5 + 16x Solving -8 + 4x = -5 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -8 + 4x + -16x = -5 + 16x + -16x Combine like terms: 4x + -16x = -12x -8 + -12x = -5 + 16x + -16x Combine like terms: 16x + -16x = 0 -8 + -12x = -5 + 0 -8 + -12x = -5 Add '8' to each side of the equation. -8 + 8 + -12x = -5 + 8 Combine like terms: -8 + 8 = 0 0 + -12x = -5 + 8 -12x = -5 + 8 Combine like terms: -5 + 8 = 3 -12x = 3 Divide each side by '-12'. x = -0.25 Simplifying x = -0.25
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