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Simplifying 3[x + 4 + -7x + 5(x + -2) + 9x] = 0 Reorder the terms: 3[x + 4 + -7x + 5(-2 + x) + 9x] = 0 3[x + 4 + -7x + (-2 * 5 + x * 5) + 9x] = 0 3[x + 4 + -7x + (-10 + 5x) + 9x] = 0 Reorder the terms: 3[4 + -10 + x + -7x + 5x + 9x] = 0 Combine like terms: 4 + -10 = -6 3[-6 + x + -7x + 5x + 9x] = 0 Combine like terms: x + -7x = -6x 3[-6 + -6x + 5x + 9x] = 0 Combine like terms: -6x + 5x = -1x 3[-6 + -1x + 9x] = 0 Combine like terms: -1x + 9x = 8x 3[-6 + 8x] = 0 [-6 * 3 + 8x * 3] = 0 [-18 + 24x] = 0 Solving -18 + 24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 24x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 24x = 0 + 18 24x = 0 + 18 Combine like terms: 0 + 18 = 18 24x = 18 Divide each side by '24'. x = 0.75 Simplifying x = 0.75
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