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Simplifying x + 47 = 7x + -37 Reorder the terms: 47 + x = 7x + -37 Reorder the terms: 47 + x = -37 + 7x Solving 47 + x = -37 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 47 + x + -7x = -37 + 7x + -7x Combine like terms: x + -7x = -6x 47 + -6x = -37 + 7x + -7x Combine like terms: 7x + -7x = 0 47 + -6x = -37 + 0 47 + -6x = -37 Add '-47' to each side of the equation. 47 + -47 + -6x = -37 + -47 Combine like terms: 47 + -47 = 0 0 + -6x = -37 + -47 -6x = -37 + -47 Combine like terms: -37 + -47 = -84 -6x = -84 Divide each side by '-6'. x = 14 Simplifying x = 14
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