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Simplifying 5 + 14x + -4 = 6x + 49 + -4x Reorder the terms: 5 + -4 + 14x = 6x + 49 + -4x Combine like terms: 5 + -4 = 1 1 + 14x = 6x + 49 + -4x Reorder the terms: 1 + 14x = 49 + 6x + -4x Combine like terms: 6x + -4x = 2x 1 + 14x = 49 + 2x Solving 1 + 14x = 49 + 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. 1 + 14x + -2x = 49 + 2x + -2x Combine like terms: 14x + -2x = 12x 1 + 12x = 49 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 12x = 49 + 0 1 + 12x = 49 Add '-1' to each side of the equation. 1 + -1 + 12x = 49 + -1 Combine like terms: 1 + -1 = 0 0 + 12x = 49 + -1 12x = 49 + -1 Combine like terms: 49 + -1 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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