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Simplifying 4(3 + -7x) + -4x = -2(x + -6) + -6x (3 * 4 + -7x * 4) + -4x = -2(x + -6) + -6x (12 + -28x) + -4x = -2(x + -6) + -6x Combine like terms: -28x + -4x = -32x 12 + -32x = -2(x + -6) + -6x Reorder the terms: 12 + -32x = -2(-6 + x) + -6x 12 + -32x = (-6 * -2 + x * -2) + -6x 12 + -32x = (12 + -2x) + -6x Combine like terms: -2x + -6x = -8x 12 + -32x = 12 + -8x Add '-12' to each side of the equation. 12 + -12 + -32x = 12 + -12 + -8x Combine like terms: 12 + -12 = 0 0 + -32x = 12 + -12 + -8x -32x = 12 + -12 + -8x Combine like terms: 12 + -12 = 0 -32x = 0 + -8x -32x = -8x Solving -32x = -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. -32x + 8x = -8x + 8x Combine like terms: -32x + 8x = -24x -24x = -8x + 8x Combine like terms: -8x + 8x = 0 -24x = 0 Divide each side by '-24'. x = 0 Simplifying x = 0
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