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Simplifying 10x + 19 = 14x + 84 Reorder the terms: 19 + 10x = 14x + 84 Reorder the terms: 19 + 10x = 84 + 14x Solving 19 + 10x = 84 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 19 + 10x + -14x = 84 + 14x + -14x Combine like terms: 10x + -14x = -4x 19 + -4x = 84 + 14x + -14x Combine like terms: 14x + -14x = 0 19 + -4x = 84 + 0 19 + -4x = 84 Add '-19' to each side of the equation. 19 + -19 + -4x = 84 + -19 Combine like terms: 19 + -19 = 0 0 + -4x = 84 + -19 -4x = 84 + -19 Combine like terms: 84 + -19 = 65 -4x = 65 Divide each side by '-4'. x = -16.25 Simplifying x = -16.25
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