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Simplifying 2x + 3(x + -4) = 4x + -9 Reorder the terms: 2x + 3(-4 + x) = 4x + -9 2x + (-4 * 3 + x * 3) = 4x + -9 2x + (-12 + 3x) = 4x + -9 Reorder the terms: -12 + 2x + 3x = 4x + -9 Combine like terms: 2x + 3x = 5x -12 + 5x = 4x + -9 Reorder the terms: -12 + 5x = -9 + 4x Solving -12 + 5x = -9 + 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. -12 + 5x + -4x = -9 + 4x + -4x Combine like terms: 5x + -4x = 1x -12 + 1x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 1x = -9 + 0 -12 + 1x = -9 Add '12' to each side of the equation. -12 + 12 + 1x = -9 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -9 + 12 1x = -9 + 12 Combine like terms: -9 + 12 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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