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Simplifying 5((6(x + -1) + 7) + -1(3(3x + -4) + 8)) = 0 Reorder the terms: 5((6(-1 + x) + 7) + -1(3(3x + -4) + 8)) = 0 5(((-1 * 6 + x * 6) + 7) + -1(3(3x + -4) + 8)) = 0 5(((-6 + 6x) + 7) + -1(3(3x + -4) + 8)) = 0 Reorder the terms: 5((-6 + 7 + 6x) + -1(3(3x + -4) + 8)) = 0 Combine like terms: -6 + 7 = 1 5((1 + 6x) + -1(3(3x + -4) + 8)) = 0 Remove parenthesis around (1 + 6x) 5(1 + 6x + -1(3(3x + -4) + 8)) = 0 Reorder the terms: 5(1 + 6x + -1(3(-4 + 3x) + 8)) = 0 5(1 + 6x + -1((-4 * 3 + 3x * 3) + 8)) = 0 5(1 + 6x + -1((-12 + 9x) + 8)) = 0 Reorder the terms: 5(1 + 6x + -1(-12 + 8 + 9x)) = 0 Combine like terms: -12 + 8 = -4 5(1 + 6x + -1(-4 + 9x)) = 0 5(1 + 6x + (-4 * -1 + 9x * -1)) = 0 5(1 + 6x + (4 + -9x)) = 0 Reorder the terms: 5(1 + 4 + 6x + -9x) = 0 Combine like terms: 1 + 4 = 5 5(5 + 6x + -9x) = 0 Combine like terms: 6x + -9x = -3x 5(5 + -3x) = 0 (5 * 5 + -3x * 5) = 0 (25 + -15x) = 0 Solving 25 + -15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -15x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -15x = 0 + -25 -15x = 0 + -25 Combine like terms: 0 + -25 = -25 -15x = -25 Divide each side by '-15'. x = 1.666666667 Simplifying x = 1.666666667
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