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Simplifying 3(7(x + -2) + 4) + -1(2(2x + -5) + 6) = 0 Reorder the terms: 3(7(-2 + x) + 4) + -1(2(2x + -5) + 6) = 0 3((-2 * 7 + x * 7) + 4) + -1(2(2x + -5) + 6) = 0 3((-14 + 7x) + 4) + -1(2(2x + -5) + 6) = 0 Reorder the terms: 3(-14 + 4 + 7x) + -1(2(2x + -5) + 6) = 0 Combine like terms: -14 + 4 = -10 3(-10 + 7x) + -1(2(2x + -5) + 6) = 0 (-10 * 3 + 7x * 3) + -1(2(2x + -5) + 6) = 0 (-30 + 21x) + -1(2(2x + -5) + 6) = 0 Reorder the terms: -30 + 21x + -1(2(-5 + 2x) + 6) = 0 -30 + 21x + -1((-5 * 2 + 2x * 2) + 6) = 0 -30 + 21x + -1((-10 + 4x) + 6) = 0 Reorder the terms: -30 + 21x + -1(-10 + 6 + 4x) = 0 Combine like terms: -10 + 6 = -4 -30 + 21x + -1(-4 + 4x) = 0 -30 + 21x + (-4 * -1 + 4x * -1) = 0 -30 + 21x + (4 + -4x) = 0 Reorder the terms: -30 + 4 + 21x + -4x = 0 Combine like terms: -30 + 4 = -26 -26 + 21x + -4x = 0 Combine like terms: 21x + -4x = 17x -26 + 17x = 0 Solving -26 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 17x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 17x = 0 + 26 17x = 0 + 26 Combine like terms: 0 + 26 = 26 17x = 26 Divide each side by '17'. x = 1.529411765 Simplifying x = 1.529411765
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