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Simplifying 5x + 6x + -7 = 4x + -6 + -22 Reorder the terms: -7 + 5x + 6x = 4x + -6 + -22 Combine like terms: 5x + 6x = 11x -7 + 11x = 4x + -6 + -22 Reorder the terms: -7 + 11x = -6 + -22 + 4x Combine like terms: -6 + -22 = -28 -7 + 11x = -28 + 4x Solving -7 + 11x = -28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 11x + -4x = -28 + 4x + -4x Combine like terms: 11x + -4x = 7x -7 + 7x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 7x = -28 + 0 -7 + 7x = -28 Add '7' to each side of the equation. -7 + 7 + 7x = -28 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = -28 + 7 7x = -28 + 7 Combine like terms: -28 + 7 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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