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Simplifying 9(2x + -4 + -1x) + 7(3 + -1x) = 0 Reorder the terms: 9(-4 + 2x + -1x) + 7(3 + -1x) = 0 Combine like terms: 2x + -1x = 1x 9(-4 + 1x) + 7(3 + -1x) = 0 (-4 * 9 + 1x * 9) + 7(3 + -1x) = 0 (-36 + 9x) + 7(3 + -1x) = 0 -36 + 9x + (3 * 7 + -1x * 7) = 0 -36 + 9x + (21 + -7x) = 0 Reorder the terms: -36 + 21 + 9x + -7x = 0 Combine like terms: -36 + 21 = -15 -15 + 9x + -7x = 0 Combine like terms: 9x + -7x = 2x -15 + 2x = 0 Solving -15 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 2x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 0 + 15 2x = 0 + 15 Combine like terms: 0 + 15 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5
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