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Simplifying 7x + 114 = 3x + 120 Reorder the terms: 114 + 7x = 3x + 120 Reorder the terms: 114 + 7x = 120 + 3x Solving 114 + 7x = 120 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 114 + 7x + -3x = 120 + 3x + -3x Combine like terms: 7x + -3x = 4x 114 + 4x = 120 + 3x + -3x Combine like terms: 3x + -3x = 0 114 + 4x = 120 + 0 114 + 4x = 120 Add '-114' to each side of the equation. 114 + -114 + 4x = 120 + -114 Combine like terms: 114 + -114 = 0 0 + 4x = 120 + -114 4x = 120 + -114 Combine like terms: 120 + -114 = 6 4x = 6 Divide each side by '4'. x = 1.5 Simplifying x = 1.5
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