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Simplifying 6x + 84 = 10x + -12 Reorder the terms: 84 + 6x = 10x + -12 Reorder the terms: 84 + 6x = -12 + 10x Solving 84 + 6x = -12 + 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 + 6x + -10x = -12 + 10x + -10x Combine like terms: 6x + -10x = -4x 84 + -4x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 84 + -4x = -12 + 0 84 + -4x = -12 Add '-84' to each side of the equation. 84 + -84 + -4x = -12 + -84 Combine like terms: 84 + -84 = 0 0 + -4x = -12 + -84 -4x = -12 + -84 Combine like terms: -12 + -84 = -96 -4x = -96 Divide each side by '-4'. x = 24 Simplifying x = 24
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