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Simplifying 4x + 114 = 2x + 84 Reorder the terms: 114 + 4x = 2x + 84 Reorder the terms: 114 + 4x = 84 + 2x Solving 114 + 4x = 84 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 114 + 4x + -2x = 84 + 2x + -2x Combine like terms: 4x + -2x = 2x 114 + 2x = 84 + 2x + -2x Combine like terms: 2x + -2x = 0 114 + 2x = 84 + 0 114 + 2x = 84 Add '-114' to each side of the equation. 114 + -114 + 2x = 84 + -114 Combine like terms: 114 + -114 = 0 0 + 2x = 84 + -114 2x = 84 + -114 Combine like terms: 84 + -114 = -30 2x = -30 Divide each side by '2'. x = -15 Simplifying x = -15
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