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Simplifying 4x + 7 = 9x + -38 Reorder the terms: 7 + 4x = 9x + -38 Reorder the terms: 7 + 4x = -38 + 9x Solving 7 + 4x = -38 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 7 + 4x + -9x = -38 + 9x + -9x Combine like terms: 4x + -9x = -5x 7 + -5x = -38 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + -5x = -38 + 0 7 + -5x = -38 Add '-7' to each side of the equation. 7 + -7 + -5x = -38 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -38 + -7 -5x = -38 + -7 Combine like terms: -38 + -7 = -45 -5x = -45 Divide each side by '-5'. x = 9 Simplifying x = 9
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