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Simplifying 4x + 12 + -10x = 24 + -8x + -10 Reorder the terms: 12 + 4x + -10x = 24 + -8x + -10 Combine like terms: 4x + -10x = -6x 12 + -6x = 24 + -8x + -10 Reorder the terms: 12 + -6x = 24 + -10 + -8x Combine like terms: 24 + -10 = 14 12 + -6x = 14 + -8x Solving 12 + -6x = 14 + -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. 12 + -6x + 8x = 14 + -8x + 8x Combine like terms: -6x + 8x = 2x 12 + 2x = 14 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 2x = 14 + 0 12 + 2x = 14 Add '-12' to each side of the equation. 12 + -12 + 2x = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 14 + -12 2x = 14 + -12 Combine like terms: 14 + -12 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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