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Simplifying 6x + 24 = 8x + -10(12 + -6) Reorder the terms: 24 + 6x = 8x + -10(12 + -6) Combine like terms: 12 + -6 = 6 24 + 6x = 8x + -10(6) Multiply -10 * 6 24 + 6x = 8x + -60 Reorder the terms: 24 + 6x = -60 + 8x Solving 24 + 6x = -60 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 24 + 6x + -8x = -60 + 8x + -8x Combine like terms: 6x + -8x = -2x 24 + -2x = -60 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + -2x = -60 + 0 24 + -2x = -60 Add '-24' to each side of the equation. 24 + -24 + -2x = -60 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = -60 + -24 -2x = -60 + -24 Combine like terms: -60 + -24 = -84 -2x = -84 Divide each side by '-2'. x = 42 Simplifying x = 42
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