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Simplifying 5x + 22 + -6 = 7x + -4 + 3 Reorder the terms: 22 + -6 + 5x = 7x + -4 + 3 Combine like terms: 22 + -6 = 16 16 + 5x = 7x + -4 + 3 Reorder the terms: 16 + 5x = -4 + 3 + 7x Combine like terms: -4 + 3 = -1 16 + 5x = -1 + 7x Solving 16 + 5x = -1 + 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. 16 + 5x + -7x = -1 + 7x + -7x Combine like terms: 5x + -7x = -2x 16 + -2x = -1 + 7x + -7x Combine like terms: 7x + -7x = 0 16 + -2x = -1 + 0 16 + -2x = -1 Add '-16' to each side of the equation. 16 + -16 + -2x = -1 + -16 Combine like terms: 16 + -16 = 0 0 + -2x = -1 + -16 -2x = -1 + -16 Combine like terms: -1 + -16 = -17 -2x = -17 Divide each side by '-2'. x = 8.5 Simplifying x = 8.5
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