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Simplifying 7 + -5x = 10x + 22 Reorder the terms: 7 + -5x = 22 + 10x Solving 7 + -5x = 22 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 7 + -5x + -10x = 22 + 10x + -10x Combine like terms: -5x + -10x = -15x 7 + -15x = 22 + 10x + -10x Combine like terms: 10x + -10x = 0 7 + -15x = 22 + 0 7 + -15x = 22 Add '-7' to each side of the equation. 7 + -7 + -15x = 22 + -7 Combine like terms: 7 + -7 = 0 0 + -15x = 22 + -7 -15x = 22 + -7 Combine like terms: 22 + -7 = 15 -15x = 15 Divide each side by '-15'. x = -1 Simplifying x = -1
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