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Simplifying 47 + -7x = 3x + 12 Reorder the terms: 47 + -7x = 12 + 3x Solving 47 + -7x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 47 + -7x + -3x = 12 + 3x + -3x Combine like terms: -7x + -3x = -10x 47 + -10x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 47 + -10x = 12 + 0 47 + -10x = 12 Add '-47' to each side of the equation. 47 + -47 + -10x = 12 + -47 Combine like terms: 47 + -47 = 0 0 + -10x = 12 + -47 -10x = 12 + -47 Combine like terms: 12 + -47 = -35 -10x = -35 Divide each side by '-10'. x = 3.5 Simplifying x = 3.5
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