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Simplifying -2x + 4 = 7x + -5 Reorder the terms: 4 + -2x = 7x + -5 Reorder the terms: 4 + -2x = -5 + 7x Solving 4 + -2x = -5 + 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. 4 + -2x + -7x = -5 + 7x + -7x Combine like terms: -2x + -7x = -9x 4 + -9x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -9x = -5 + 0 4 + -9x = -5 Add '-4' to each side of the equation. 4 + -4 + -9x = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = -5 + -4 -9x = -5 + -4 Combine like terms: -5 + -4 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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