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Simplifying 5x + 2 = 15x + 22 Reorder the terms: 2 + 5x = 15x + 22 Reorder the terms: 2 + 5x = 22 + 15x Solving 2 + 5x = 22 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 2 + 5x + -15x = 22 + 15x + -15x Combine like terms: 5x + -15x = -10x 2 + -10x = 22 + 15x + -15x Combine like terms: 15x + -15x = 0 2 + -10x = 22 + 0 2 + -10x = 22 Add '-2' to each side of the equation. 2 + -2 + -10x = 22 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = 22 + -2 -10x = 22 + -2 Combine like terms: 22 + -2 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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