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Simplifying 2(x + -4) + -4(3 + -2x) = 5x + -10 Reorder the terms: 2(-4 + x) + -4(3 + -2x) = 5x + -10 (-4 * 2 + x * 2) + -4(3 + -2x) = 5x + -10 (-8 + 2x) + -4(3 + -2x) = 5x + -10 -8 + 2x + (3 * -4 + -2x * -4) = 5x + -10 -8 + 2x + (-12 + 8x) = 5x + -10 Reorder the terms: -8 + -12 + 2x + 8x = 5x + -10 Combine like terms: -8 + -12 = -20 -20 + 2x + 8x = 5x + -10 Combine like terms: 2x + 8x = 10x -20 + 10x = 5x + -10 Reorder the terms: -20 + 10x = -10 + 5x Solving -20 + 10x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -20 + 10x + -5x = -10 + 5x + -5x Combine like terms: 10x + -5x = 5x -20 + 5x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + 5x = -10 + 0 -20 + 5x = -10 Add '20' to each side of the equation. -20 + 20 + 5x = -10 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = -10 + 20 5x = -10 + 20 Combine like terms: -10 + 20 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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