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Simplifying 6x + -2x = 4(3x + -3) + -4(x + -9) Combine like terms: 6x + -2x = 4x 4x = 4(3x + -3) + -4(x + -9) Reorder the terms: 4x = 4(-3 + 3x) + -4(x + -9) 4x = (-3 * 4 + 3x * 4) + -4(x + -9) 4x = (-12 + 12x) + -4(x + -9) Reorder the terms: 4x = -12 + 12x + -4(-9 + x) 4x = -12 + 12x + (-9 * -4 + x * -4) 4x = -12 + 12x + (36 + -4x) Reorder the terms: 4x = -12 + 36 + 12x + -4x Combine like terms: -12 + 36 = 24 4x = 24 + 12x + -4x Combine like terms: 12x + -4x = 8x 4x = 24 + 8x Solving 4x = 24 + 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. 4x + -8x = 24 + 8x + -8x Combine like terms: 4x + -8x = -4x -4x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 -4x = 24 + 0 -4x = 24 Divide each side by '-4'. x = -6 Simplifying x = -6
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