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Simplifying 4(x + -6) + -3(4x + 4) = -4x Reorder the terms: 4(-6 + x) + -3(4x + 4) = -4x (-6 * 4 + x * 4) + -3(4x + 4) = -4x (-24 + 4x) + -3(4x + 4) = -4x Reorder the terms: -24 + 4x + -3(4 + 4x) = -4x -24 + 4x + (4 * -3 + 4x * -3) = -4x -24 + 4x + (-12 + -12x) = -4x Reorder the terms: -24 + -12 + 4x + -12x = -4x Combine like terms: -24 + -12 = -36 -36 + 4x + -12x = -4x Combine like terms: 4x + -12x = -8x -36 + -8x = -4x Solving -36 + -8x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -36 + -8x + 4x = -4x + 4x Combine like terms: -8x + 4x = -4x -36 + -4x = -4x + 4x Combine like terms: -4x + 4x = 0 -36 + -4x = 0 Add '36' to each side of the equation. -36 + 36 + -4x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -4x = 0 + 36 -4x = 0 + 36 Combine like terms: 0 + 36 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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