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Simplifying (2x + -4) * 3 + -4(x + 2) = 2 + -3x Reorder the terms: (-4 + 2x) * 3 + -4(x + 2) = 2 + -3x Reorder the terms for easier multiplication: 3(-4 + 2x) + -4(x + 2) = 2 + -3x (-4 * 3 + 2x * 3) + -4(x + 2) = 2 + -3x (-12 + 6x) + -4(x + 2) = 2 + -3x Reorder the terms: -12 + 6x + -4(2 + x) = 2 + -3x -12 + 6x + (2 * -4 + x * -4) = 2 + -3x -12 + 6x + (-8 + -4x) = 2 + -3x Reorder the terms: -12 + -8 + 6x + -4x = 2 + -3x Combine like terms: -12 + -8 = -20 -20 + 6x + -4x = 2 + -3x Combine like terms: 6x + -4x = 2x -20 + 2x = 2 + -3x Solving -20 + 2x = 2 + -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. -20 + 2x + 3x = 2 + -3x + 3x Combine like terms: 2x + 3x = 5x -20 + 5x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 -20 + 5x = 2 + 0 -20 + 5x = 2 Add '20' to each side of the equation. -20 + 20 + 5x = 2 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = 2 + 20 5x = 2 + 20 Combine like terms: 2 + 20 = 22 5x = 22 Divide each side by '5'. x = 4.4 Simplifying x = 4.4
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