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Simplifying 3x + -7x + 12 = 24 + 6x Reorder the terms: 12 + 3x + -7x = 24 + 6x Combine like terms: 3x + -7x = -4x 12 + -4x = 24 + 6x Solving 12 + -4x = 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. 12 + -4x + -6x = 24 + 6x + -6x Combine like terms: -4x + -6x = -10x 12 + -10x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -10x = 24 + 0 12 + -10x = 24 Add '-12' to each side of the equation. 12 + -12 + -10x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = 24 + -12 -10x = 24 + -12 Combine like terms: 24 + -12 = 12 -10x = 12 Divide each side by '-10'. x = -1.2 Simplifying x = -1.2
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