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Simplifying 7x + -1(3x + -4) = 8x + -12 Reorder the terms: 7x + -1(-4 + 3x) = 8x + -12 7x + (-4 * -1 + 3x * -1) = 8x + -12 7x + (4 + -3x) = 8x + -12 Reorder the terms: 4 + 7x + -3x = 8x + -12 Combine like terms: 7x + -3x = 4x 4 + 4x = 8x + -12 Reorder the terms: 4 + 4x = -12 + 8x Solving 4 + 4x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 4x + -8x = -12 + 8x + -8x Combine like terms: 4x + -8x = -4x 4 + -4x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -4x = -12 + 0 4 + -4x = -12 Add '-4' to each side of the equation. 4 + -4 + -4x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -12 + -4 -4x = -12 + -4 Combine like terms: -12 + -4 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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