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Simplifying 2(5(3(x + -2) + 4) + 6(x + -2)) = 0 Reorder the terms: 2(5(3(-2 + x) + 4) + 6(x + -2)) = 0 2(5((-2 * 3 + x * 3) + 4) + 6(x + -2)) = 0 2(5((-6 + 3x) + 4) + 6(x + -2)) = 0 Reorder the terms: 2(5(-6 + 4 + 3x) + 6(x + -2)) = 0 Combine like terms: -6 + 4 = -2 2(5(-2 + 3x) + 6(x + -2)) = 0 2((-2 * 5 + 3x * 5) + 6(x + -2)) = 0 2((-10 + 15x) + 6(x + -2)) = 0 Reorder the terms: 2(-10 + 15x + 6(-2 + x)) = 0 2(-10 + 15x + (-2 * 6 + x * 6)) = 0 2(-10 + 15x + (-12 + 6x)) = 0 Reorder the terms: 2(-10 + -12 + 15x + 6x) = 0 Combine like terms: -10 + -12 = -22 2(-22 + 15x + 6x) = 0 Combine like terms: 15x + 6x = 21x 2(-22 + 21x) = 0 (-22 * 2 + 21x * 2) = 0 (-44 + 42x) = 0 Solving -44 + 42x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 42x = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 42x = 0 + 44 42x = 0 + 44 Combine like terms: 0 + 44 = 44 42x = 44 Divide each side by '42'. x = 1.047619048 Simplifying x = 1.047619048
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