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Simplifying 3x + 84 = 10x + 14 Reorder the terms: 84 + 3x = 10x + 14 Reorder the terms: 84 + 3x = 14 + 10x Solving 84 + 3x = 14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 84 + 3x + -10x = 14 + 10x + -10x Combine like terms: 3x + -10x = -7x 84 + -7x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 84 + -7x = 14 + 0 84 + -7x = 14 Add '-84' to each side of the equation. 84 + -84 + -7x = 14 + -84 Combine like terms: 84 + -84 = 0 0 + -7x = 14 + -84 -7x = 14 + -84 Combine like terms: 14 + -84 = -70 -7x = -70 Divide each side by '-7'. x = 10 Simplifying x = 10
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