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Simplifying x + 5 = 4x + 7 Reorder the terms: 5 + x = 4x + 7 Reorder the terms: 5 + x = 7 + 4x Solving 5 + x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + x + -4x = 7 + 4x + -4x Combine like terms: x + -4x = -3x 5 + -3x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -3x = 7 + 0 5 + -3x = 7 Add '-5' to each side of the equation. 5 + -5 + -3x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 7 + -5 -3x = 7 + -5 Combine like terms: 7 + -5 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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