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Simplifying 7x + -1(x + 4) + -3(5x + -9) = 0 Reorder the terms: 7x + -1(4 + x) + -3(5x + -9) = 0 7x + (4 * -1 + x * -1) + -3(5x + -9) = 0 7x + (-4 + -1x) + -3(5x + -9) = 0 Reorder the terms: 7x + -4 + -1x + -3(-9 + 5x) = 0 7x + -4 + -1x + (-9 * -3 + 5x * -3) = 0 7x + -4 + -1x + (27 + -15x) = 0 Reorder the terms: -4 + 27 + 7x + -1x + -15x = 0 Combine like terms: -4 + 27 = 23 23 + 7x + -1x + -15x = 0 Combine like terms: 7x + -1x = 6x 23 + 6x + -15x = 0 Combine like terms: 6x + -15x = -9x 23 + -9x = 0 Solving 23 + -9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -9x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -9x = 0 + -23 -9x = 0 + -23 Combine like terms: 0 + -23 = -23 -9x = -23 Divide each side by '-9'. x = 2.555555556 Simplifying x = 2.555555556
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