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Simplifying 2(x + -3) + -4(x + 6) = -4(x + -6) Reorder the terms: 2(-3 + x) + -4(x + 6) = -4(x + -6) (-3 * 2 + x * 2) + -4(x + 6) = -4(x + -6) (-6 + 2x) + -4(x + 6) = -4(x + -6) Reorder the terms: -6 + 2x + -4(6 + x) = -4(x + -6) -6 + 2x + (6 * -4 + x * -4) = -4(x + -6) -6 + 2x + (-24 + -4x) = -4(x + -6) Reorder the terms: -6 + -24 + 2x + -4x = -4(x + -6) Combine like terms: -6 + -24 = -30 -30 + 2x + -4x = -4(x + -6) Combine like terms: 2x + -4x = -2x -30 + -2x = -4(x + -6) Reorder the terms: -30 + -2x = -4(-6 + x) -30 + -2x = (-6 * -4 + x * -4) -30 + -2x = (24 + -4x) Solving -30 + -2x = 24 + -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. -30 + -2x + 4x = 24 + -4x + 4x Combine like terms: -2x + 4x = 2x -30 + 2x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 -30 + 2x = 24 + 0 -30 + 2x = 24 Add '30' to each side of the equation. -30 + 30 + 2x = 24 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = 24 + 30 2x = 24 + 30 Combine like terms: 24 + 30 = 54 2x = 54 Divide each side by '2'. x = 27 Simplifying x = 27
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