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Simplifying 2(5x + -2) + -4(2x + 3) = 0 Reorder the terms: 2(-2 + 5x) + -4(2x + 3) = 0 (-2 * 2 + 5x * 2) + -4(2x + 3) = 0 (-4 + 10x) + -4(2x + 3) = 0 Reorder the terms: -4 + 10x + -4(3 + 2x) = 0 -4 + 10x + (3 * -4 + 2x * -4) = 0 -4 + 10x + (-12 + -8x) = 0 Reorder the terms: -4 + -12 + 10x + -8x = 0 Combine like terms: -4 + -12 = -16 -16 + 10x + -8x = 0 Combine like terms: 10x + -8x = 2x -16 + 2x = 0 Solving -16 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 2x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = 0 + 16 2x = 0 + 16 Combine like terms: 0 + 16 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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