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Simplifying 7x + 12 + -2x = 2(5x + 16) Reorder the terms: 12 + 7x + -2x = 2(5x + 16) Combine like terms: 7x + -2x = 5x 12 + 5x = 2(5x + 16) Reorder the terms: 12 + 5x = 2(16 + 5x) 12 + 5x = (16 * 2 + 5x * 2) 12 + 5x = (32 + 10x) Solving 12 + 5x = 32 + 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. 12 + 5x + -10x = 32 + 10x + -10x Combine like terms: 5x + -10x = -5x 12 + -5x = 32 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -5x = 32 + 0 12 + -5x = 32 Add '-12' to each side of the equation. 12 + -12 + -5x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 32 + -12 -5x = 32 + -12 Combine like terms: 32 + -12 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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