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Simplifying -9x + 7 = 5(7 + -1x) Reorder the terms: 7 + -9x = 5(7 + -1x) 7 + -9x = (7 * 5 + -1x * 5) 7 + -9x = (35 + -5x) Solving 7 + -9x = 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. 7 + -9x + 5x = 35 + -5x + 5x Combine like terms: -9x + 5x = -4x 7 + -4x = 35 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + -4x = 35 + 0 7 + -4x = 35 Add '-7' to each side of the equation. 7 + -7 + -4x = 35 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 35 + -7 -4x = 35 + -7 Combine like terms: 35 + -7 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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