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Simplifying 7x + -1(6x + 3) = 4x + -12 Reorder the terms: 7x + -1(3 + 6x) = 4x + -12 7x + (3 * -1 + 6x * -1) = 4x + -12 7x + (-3 + -6x) = 4x + -12 Reorder the terms: -3 + 7x + -6x = 4x + -12 Combine like terms: 7x + -6x = 1x -3 + 1x = 4x + -12 Reorder the terms: -3 + 1x = -12 + 4x Solving -3 + 1x = -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. -3 + 1x + -4x = -12 + 4x + -4x Combine like terms: 1x + -4x = -3x -3 + -3x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -3x = -12 + 0 -3 + -3x = -12 Add '3' to each side of the equation. -3 + 3 + -3x = -12 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = -12 + 3 -3x = -12 + 3 Combine like terms: -12 + 3 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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