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Simplifying 29 + -1[7x + -5(2x + -7) + -2(9x + -4)] + 7(3x + -8) = 0 Reorder the terms: 29 + -1[7x + -5(-7 + 2x) + -2(9x + -4)] + 7(3x + -8) = 0 29 + -1[7x + (-7 * -5 + 2x * -5) + -2(9x + -4)] + 7(3x + -8) = 0 29 + -1[7x + (35 + -10x) + -2(9x + -4)] + 7(3x + -8) = 0 Reorder the terms: 29 + -1[7x + 35 + -10x + -2(-4 + 9x)] + 7(3x + -8) = 0 29 + -1[7x + 35 + -10x + (-4 * -2 + 9x * -2)] + 7(3x + -8) = 0 29 + -1[7x + 35 + -10x + (8 + -18x)] + 7(3x + -8) = 0 Reorder the terms: 29 + -1[35 + 8 + 7x + -10x + -18x] + 7(3x + -8) = 0 Combine like terms: 35 + 8 = 43 29 + -1[43 + 7x + -10x + -18x] + 7(3x + -8) = 0 Combine like terms: 7x + -10x = -3x 29 + -1[43 + -3x + -18x] + 7(3x + -8) = 0 Combine like terms: -3x + -18x = -21x 29 + -1[43 + -21x] + 7(3x + -8) = 0 29 + [43 * -1 + -21x * -1] + 7(3x + -8) = 0 29 + [-43 + 21x] + 7(3x + -8) = 0 Reorder the terms: 29 + -43 + 21x + 7(-8 + 3x) = 0 29 + -43 + 21x + (-8 * 7 + 3x * 7) = 0 29 + -43 + 21x + (-56 + 21x) = 0 Reorder the terms: 29 + -43 + -56 + 21x + 21x = 0 Combine like terms: 29 + -43 = -14 -14 + -56 + 21x + 21x = 0 Combine like terms: -14 + -56 = -70 -70 + 21x + 21x = 0 Combine like terms: 21x + 21x = 42x -70 + 42x = 0 Solving -70 + 42x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + 42x = 0 + 70 Combine like terms: -70 + 70 = 0 0 + 42x = 0 + 70 42x = 0 + 70 Combine like terms: 0 + 70 = 70 42x = 70 Divide each side by '42'. x = 1.666666667 Simplifying x = 1.666666667
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