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Simplifying 5x + 6 + -1x = -7 + x + -2 Reorder the terms: 6 + 5x + -1x = -7 + x + -2 Combine like terms: 5x + -1x = 4x 6 + 4x = -7 + x + -2 Reorder the terms: 6 + 4x = -7 + -2 + x Combine like terms: -7 + -2 = -9 6 + 4x = -9 + x Solving 6 + 4x = -9 + x 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. 6 + 4x + -1x = -9 + x + -1x Combine like terms: 4x + -1x = 3x 6 + 3x = -9 + x + -1x Combine like terms: x + -1x = 0 6 + 3x = -9 + 0 6 + 3x = -9 Add '-6' to each side of the equation. 6 + -6 + 3x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = -9 + -6 3x = -9 + -6 Combine like terms: -9 + -6 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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