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Simplifying 5(9x + -4) + -1[3(5x + -3) + 1] = 0 Reorder the terms: 5(-4 + 9x) + -1[3(5x + -3) + 1] = 0 (-4 * 5 + 9x * 5) + -1[3(5x + -3) + 1] = 0 (-20 + 45x) + -1[3(5x + -3) + 1] = 0 Reorder the terms: -20 + 45x + -1[3(-3 + 5x) + 1] = 0 -20 + 45x + -1[(-3 * 3 + 5x * 3) + 1] = 0 -20 + 45x + -1[(-9 + 15x) + 1] = 0 Reorder the terms: -20 + 45x + -1[-9 + 1 + 15x] = 0 Combine like terms: -9 + 1 = -8 -20 + 45x + -1[-8 + 15x] = 0 -20 + 45x + [-8 * -1 + 15x * -1] = 0 -20 + 45x + [8 + -15x] = 0 Reorder the terms: -20 + 8 + 45x + -15x = 0 Combine like terms: -20 + 8 = -12 -12 + 45x + -15x = 0 Combine like terms: 45x + -15x = 30x -12 + 30x = 0 Solving -12 + 30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 30x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 30x = 0 + 12 30x = 0 + 12 Combine like terms: 0 + 12 = 12 30x = 12 Divide each side by '30'. x = 0.4 Simplifying x = 0.4
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