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Simplifying 3x + -6 + -4x + 12 = 3 + -5x + -7 Reorder the terms: -6 + 12 + 3x + -4x = 3 + -5x + -7 Combine like terms: -6 + 12 = 6 6 + 3x + -4x = 3 + -5x + -7 Combine like terms: 3x + -4x = -1x 6 + -1x = 3 + -5x + -7 Reorder the terms: 6 + -1x = 3 + -7 + -5x Combine like terms: 3 + -7 = -4 6 + -1x = -4 + -5x Solving 6 + -1x = -4 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 6 + -1x + 5x = -4 + -5x + 5x Combine like terms: -1x + 5x = 4x 6 + 4x = -4 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 4x = -4 + 0 6 + 4x = -4 Add '-6' to each side of the equation. 6 + -6 + 4x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = -4 + -6 4x = -4 + -6 Combine like terms: -4 + -6 = -10 4x = -10 Divide each side by '4'. x = -2.5 Simplifying x = -2.5
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