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Simplifying -14x + 47 = -7x + 5 + -4x Reorder the terms: 47 + -14x = -7x + 5 + -4x Reorder the terms: 47 + -14x = 5 + -7x + -4x Combine like terms: -7x + -4x = -11x 47 + -14x = 5 + -11x Solving 47 + -14x = 5 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 47 + -14x + 11x = 5 + -11x + 11x Combine like terms: -14x + 11x = -3x 47 + -3x = 5 + -11x + 11x Combine like terms: -11x + 11x = 0 47 + -3x = 5 + 0 47 + -3x = 5 Add '-47' to each side of the equation. 47 + -47 + -3x = 5 + -47 Combine like terms: 47 + -47 = 0 0 + -3x = 5 + -47 -3x = 5 + -47 Combine like terms: 5 + -47 = -42 -3x = -42 Divide each side by '-3'. x = 14 Simplifying x = 14
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