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