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Simplifying 10x + 6 = 12x + -24 Reorder the terms: 6 + 10x = 12x + -24 Reorder the terms: 6 + 10x = -24 + 12x Solving 6 + 10x = -24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6 + 10x + -12x = -24 + 12x + -12x Combine like terms: 10x + -12x = -2x 6 + -2x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -2x = -24 + 0 6 + -2x = -24 Add '-6' to each side of the equation. 6 + -6 + -2x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -24 + -6 -2x = -24 + -6 Combine like terms: -24 + -6 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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