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Simplifying -3x + 12 = 14 + 7x + -6 Reorder the terms: 12 + -3x = 14 + 7x + -6 Reorder the terms: 12 + -3x = 14 + -6 + 7x Combine like terms: 14 + -6 = 8 12 + -3x = 8 + 7x Solving 12 + -3x = 8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + -3x + -7x = 8 + 7x + -7x Combine like terms: -3x + -7x = -10x 12 + -10x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -10x = 8 + 0 12 + -10x = 8 Add '-12' to each side of the equation. 12 + -12 + -10x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = 8 + -12 -10x = 8 + -12 Combine like terms: 8 + -12 = -4 -10x = -4 Divide each side by '-10'. x = 0.4 Simplifying x = 0.4
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