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Simplifying 4x + 7 = 7x + (-5) Reorder the terms: 7 + 4x = 7x + (-5) 7 + 4x = 7x + -5 Reorder the terms: 7 + 4x = -5 + 7x Solving 7 + 4x = -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. 7 + 4x + -7x = -5 + 7x + -7x Combine like terms: 4x + -7x = -3x 7 + -3x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + -3x = -5 + 0 7 + -3x = -5 Add '-7' to each side of the equation. 7 + -7 + -3x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -5 + -7 -3x = -5 + -7 Combine like terms: -5 + -7 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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