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Simplifying -4x + 2x + -7 = -1x + 14 + 2x + -6 Reorder the terms: -7 + -4x + 2x = -1x + 14 + 2x + -6 Combine like terms: -4x + 2x = -2x -7 + -2x = -1x + 14 + 2x + -6 Reorder the terms: -7 + -2x = 14 + -6 + -1x + 2x Combine like terms: 14 + -6 = 8 -7 + -2x = 8 + -1x + 2x Combine like terms: -1x + 2x = 1x -7 + -2x = 8 + 1x Solving -7 + -2x = 8 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + -2x + -1x = 8 + 1x + -1x Combine like terms: -2x + -1x = -3x -7 + -3x = 8 + 1x + -1x Combine like terms: 1x + -1x = 0 -7 + -3x = 8 + 0 -7 + -3x = 8 Add '7' to each side of the equation. -7 + 7 + -3x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 8 + 7 -3x = 8 + 7 Combine like terms: 8 + 7 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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