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Simplifying 47 = 4x + 6x + 7 Reorder the terms: 47 = 7 + 4x + 6x Combine like terms: 4x + 6x = 10x 47 = 7 + 10x Solving 47 = 7 + 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. 47 + -10x = 7 + 10x + -10x Combine like terms: 10x + -10x = 0 47 + -10x = 7 + 0 47 + -10x = 7 Add '-47' to each side of the equation. 47 + -47 + -10x = 7 + -47 Combine like terms: 47 + -47 = 0 0 + -10x = 7 + -47 -10x = 7 + -47 Combine like terms: 7 + -47 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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