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Simplifying 4x + -1x + -6 = 15x + -1 + 8 Reorder the terms: -6 + 4x + -1x = 15x + -1 + 8 Combine like terms: 4x + -1x = 3x -6 + 3x = 15x + -1 + 8 Reorder the terms: -6 + 3x = -1 + 8 + 15x Combine like terms: -1 + 8 = 7 -6 + 3x = 7 + 15x Solving -6 + 3x = 7 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -6 + 3x + -15x = 7 + 15x + -15x Combine like terms: 3x + -15x = -12x -6 + -12x = 7 + 15x + -15x Combine like terms: 15x + -15x = 0 -6 + -12x = 7 + 0 -6 + -12x = 7 Add '6' to each side of the equation. -6 + 6 + -12x = 7 + 6 Combine like terms: -6 + 6 = 0 0 + -12x = 7 + 6 -12x = 7 + 6 Combine like terms: 7 + 6 = 13 -12x = 13 Divide each side by '-12'. x = -1.083333333 Simplifying x = -1.083333333
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