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Simplifying -1(4x + -12) + 4(3x + 7) = 0 Reorder the terms: -1(-12 + 4x) + 4(3x + 7) = 0 (-12 * -1 + 4x * -1) + 4(3x + 7) = 0 (12 + -4x) + 4(3x + 7) = 0 Reorder the terms: 12 + -4x + 4(7 + 3x) = 0 12 + -4x + (7 * 4 + 3x * 4) = 0 12 + -4x + (28 + 12x) = 0 Reorder the terms: 12 + 28 + -4x + 12x = 0 Combine like terms: 12 + 28 = 40 40 + -4x + 12x = 0 Combine like terms: -4x + 12x = 8x 40 + 8x = 0 Solving 40 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 8x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 8x = 0 + -40 8x = 0 + -40 Combine like terms: 0 + -40 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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