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Simplifying 2x + 100 = 6x + -24 Reorder the terms: 100 + 2x = 6x + -24 Reorder the terms: 100 + 2x = -24 + 6x Solving 100 + 2x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 100 + 2x + -6x = -24 + 6x + -6x Combine like terms: 2x + -6x = -4x 100 + -4x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 100 + -4x = -24 + 0 100 + -4x = -24 Add '-100' to each side of the equation. 100 + -100 + -4x = -24 + -100 Combine like terms: 100 + -100 = 0 0 + -4x = -24 + -100 -4x = -24 + -100 Combine like terms: -24 + -100 = -124 -4x = -124 Divide each side by '-4'. x = 31 Simplifying x = 31
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