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Simplifying -7x + 47 = -5(x + -7) Reorder the terms: 47 + -7x = -5(x + -7) Reorder the terms: 47 + -7x = -5(-7 + x) 47 + -7x = (-7 * -5 + x * -5) 47 + -7x = (35 + -5x) Solving 47 + -7x = 35 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 47 + -7x + 5x = 35 + -5x + 5x Combine like terms: -7x + 5x = -2x 47 + -2x = 35 + -5x + 5x Combine like terms: -5x + 5x = 0 47 + -2x = 35 + 0 47 + -2x = 35 Add '-47' to each side of the equation. 47 + -47 + -2x = 35 + -47 Combine like terms: 47 + -47 = 0 0 + -2x = 35 + -47 -2x = 35 + -47 Combine like terms: 35 + -47 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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