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Simplifying 7x + 3(3x + -4) + -1(11 + -6x) = 0 Reorder the terms: 7x + 3(-4 + 3x) + -1(11 + -6x) = 0 7x + (-4 * 3 + 3x * 3) + -1(11 + -6x) = 0 7x + (-12 + 9x) + -1(11 + -6x) = 0 7x + -12 + 9x + (11 * -1 + -6x * -1) = 0 7x + -12 + 9x + (-11 + 6x) = 0 Reorder the terms: -12 + -11 + 7x + 9x + 6x = 0 Combine like terms: -12 + -11 = -23 -23 + 7x + 9x + 6x = 0 Combine like terms: 7x + 9x = 16x -23 + 16x + 6x = 0 Combine like terms: 16x + 6x = 22x -23 + 22x = 0 Solving -23 + 22x = 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 + 22x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 22x = 0 + 23 22x = 0 + 23 Combine like terms: 0 + 23 = 23 22x = 23 Divide each side by '22'. x = 1.045454545 Simplifying x = 1.045454545
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