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Simplifying 2(x + -6) + 3(2x + -4) = 3x Reorder the terms: 2(-6 + x) + 3(2x + -4) = 3x (-6 * 2 + x * 2) + 3(2x + -4) = 3x (-12 + 2x) + 3(2x + -4) = 3x Reorder the terms: -12 + 2x + 3(-4 + 2x) = 3x -12 + 2x + (-4 * 3 + 2x * 3) = 3x -12 + 2x + (-12 + 6x) = 3x Reorder the terms: -12 + -12 + 2x + 6x = 3x Combine like terms: -12 + -12 = -24 -24 + 2x + 6x = 3x Combine like terms: 2x + 6x = 8x -24 + 8x = 3x Solving -24 + 8x = 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 + 8x + -3x = 3x + -3x Combine like terms: 8x + -3x = 5x -24 + 5x = 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 5x = 0 Add '24' to each side of the equation. -24 + 24 + 5x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 5x = 0 + 24 5x = 0 + 24 Combine like terms: 0 + 24 = 24 5x = 24 Divide each side by '5'. x = 4.8 Simplifying x = 4.8
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