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Simplifying 6 + -1(3x + -6) = 7 + -4x Reorder the terms: 6 + -1(-6 + 3x) = 7 + -4x 6 + (-6 * -1 + 3x * -1) = 7 + -4x 6 + (6 + -3x) = 7 + -4x Combine like terms: 6 + 6 = 12 12 + -3x = 7 + -4x Solving 12 + -3x = 7 + -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. 12 + -3x + 4x = 7 + -4x + 4x Combine like terms: -3x + 4x = 1x 12 + 1x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 1x = 7 + 0 12 + 1x = 7 Add '-12' to each side of the equation. 12 + -12 + 1x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 7 + -12 1x = 7 + -12 Combine like terms: 7 + -12 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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