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