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Simplifying 3x + -1(4x + 4) = 7x + -12 Reorder the terms: 3x + -1(4 + 4x) = 7x + -12 3x + (4 * -1 + 4x * -1) = 7x + -12 3x + (-4 + -4x) = 7x + -12 Reorder the terms: -4 + 3x + -4x = 7x + -12 Combine like terms: 3x + -4x = -1x -4 + -1x = 7x + -12 Reorder the terms: -4 + -1x = -12 + 7x Solving -4 + -1x = -12 + 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. -4 + -1x + -7x = -12 + 7x + -7x Combine like terms: -1x + -7x = -8x -4 + -8x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -8x = -12 + 0 -4 + -8x = -12 Add '4' to each side of the equation. -4 + 4 + -8x = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = -12 + 4 -8x = -12 + 4 Combine like terms: -12 + 4 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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