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Simplifying 6 + -7x = 6x + -10x + 12 Reorder the terms: 6 + -7x = 12 + 6x + -10x Combine like terms: 6x + -10x = -4x 6 + -7x = 12 + -4x Solving 6 + -7x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + -7x + 4x = 12 + -4x + 4x Combine like terms: -7x + 4x = -3x 6 + -3x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + -3x = 12 + 0 6 + -3x = 12 Add '-6' to each side of the equation. 6 + -6 + -3x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 12 + -6 -3x = 12 + -6 Combine like terms: 12 + -6 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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