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Simplifying 2(5x + -15) + -4(2x + 9) = 0 Reorder the terms: 2(-15 + 5x) + -4(2x + 9) = 0 (-15 * 2 + 5x * 2) + -4(2x + 9) = 0 (-30 + 10x) + -4(2x + 9) = 0 Reorder the terms: -30 + 10x + -4(9 + 2x) = 0 -30 + 10x + (9 * -4 + 2x * -4) = 0 -30 + 10x + (-36 + -8x) = 0 Reorder the terms: -30 + -36 + 10x + -8x = 0 Combine like terms: -30 + -36 = -66 -66 + 10x + -8x = 0 Combine like terms: 10x + -8x = 2x -66 + 2x = 0 Solving -66 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '66' to each side of the equation. -66 + 66 + 2x = 0 + 66 Combine like terms: -66 + 66 = 0 0 + 2x = 0 + 66 2x = 0 + 66 Combine like terms: 0 + 66 = 66 2x = 66 Divide each side by '2'. x = 33 Simplifying x = 33
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