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Simplifying 3x + -4(x + 6) = -3(x + 4) Reorder the terms: 3x + -4(6 + x) = -3(x + 4) 3x + (6 * -4 + x * -4) = -3(x + 4) 3x + (-24 + -4x) = -3(x + 4) Reorder the terms: -24 + 3x + -4x = -3(x + 4) Combine like terms: 3x + -4x = -1x -24 + -1x = -3(x + 4) Reorder the terms: -24 + -1x = -3(4 + x) -24 + -1x = (4 * -3 + x * -3) -24 + -1x = (-12 + -3x) Solving -24 + -1x = -12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -24 + -1x + 3x = -12 + -3x + 3x Combine like terms: -1x + 3x = 2x -24 + 2x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 -24 + 2x = -12 + 0 -24 + 2x = -12 Add '24' to each side of the equation. -24 + 24 + 2x = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = -12 + 24 2x = -12 + 24 Combine like terms: -12 + 24 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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