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Simplifying 4(7 + -4x) + -4(1 + 5x) = -12 (7 * 4 + -4x * 4) + -4(1 + 5x) = -12 (28 + -16x) + -4(1 + 5x) = -12 28 + -16x + (1 * -4 + 5x * -4) = -12 28 + -16x + (-4 + -20x) = -12 Reorder the terms: 28 + -4 + -16x + -20x = -12 Combine like terms: 28 + -4 = 24 24 + -16x + -20x = -12 Combine like terms: -16x + -20x = -36x 24 + -36x = -12 Solving 24 + -36x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -36x = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -36x = -12 + -24 -36x = -12 + -24 Combine like terms: -12 + -24 = -36 -36x = -36 Divide each side by '-36'. x = 1 Simplifying x = 1
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