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Simplifying 5x + -2x + 6 = 7x + 22 Reorder the terms: 6 + 5x + -2x = 7x + 22 Combine like terms: 5x + -2x = 3x 6 + 3x = 7x + 22 Reorder the terms: 6 + 3x = 22 + 7x Solving 6 + 3x = 22 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + 3x + -7x = 22 + 7x + -7x Combine like terms: 3x + -7x = -4x 6 + -4x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -4x = 22 + 0 6 + -4x = 22 Add '-6' to each side of the equation. 6 + -6 + -4x = 22 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 22 + -6 -4x = 22 + -6 Combine like terms: 22 + -6 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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