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Simplifying -1x + -5 + 4x = -7 + 6x + 15 Reorder the terms: -5 + -1x + 4x = -7 + 6x + 15 Combine like terms: -1x + 4x = 3x -5 + 3x = -7 + 6x + 15 Reorder the terms: -5 + 3x = -7 + 15 + 6x Combine like terms: -7 + 15 = 8 -5 + 3x = 8 + 6x Solving -5 + 3x = 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. -5 + 3x + -6x = 8 + 6x + -6x Combine like terms: 3x + -6x = -3x -5 + -3x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -3x = 8 + 0 -5 + -3x = 8 Add '5' to each side of the equation. -5 + 5 + -3x = 8 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 8 + 5 -3x = 8 + 5 Combine like terms: 8 + 5 = 13 -3x = 13 Divide each side by '-3'. x = -4.333333333 Simplifying x = -4.333333333
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