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Simplifying 4x + 38 = 7x + 14 Reorder the terms: 38 + 4x = 7x + 14 Reorder the terms: 38 + 4x = 14 + 7x Solving 38 + 4x = 14 + 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. 38 + 4x + -7x = 14 + 7x + -7x Combine like terms: 4x + -7x = -3x 38 + -3x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 38 + -3x = 14 + 0 38 + -3x = 14 Add '-38' to each side of the equation. 38 + -38 + -3x = 14 + -38 Combine like terms: 38 + -38 = 0 0 + -3x = 14 + -38 -3x = 14 + -38 Combine like terms: 14 + -38 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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