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Simplifying 4x + 1 = 7x + 4 Reorder the terms: 1 + 4x = 7x + 4 Reorder the terms: 1 + 4x = 4 + 7x Solving 1 + 4x = 4 + 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. 1 + 4x + -7x = 4 + 7x + -7x Combine like terms: 4x + -7x = -3x 1 + -3x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -3x = 4 + 0 1 + -3x = 4 Add '-1' to each side of the equation. 1 + -1 + -3x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 4 + -1 -3x = 4 + -1 Combine like terms: 4 + -1 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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