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Simplifying 2x + -3[x + 5(x + -2)] = 0 Reorder the terms: 2x + -3[x + 5(-2 + x)] = 0 2x + -3[x + (-2 * 5 + x * 5)] = 0 2x + -3[x + (-10 + 5x)] = 0 Reorder the terms: 2x + -3[-10 + x + 5x] = 0 Combine like terms: x + 5x = 6x 2x + -3[-10 + 6x] = 0 2x + [-10 * -3 + 6x * -3] = 0 2x + [30 + -18x] = 0 Reorder the terms: 30 + 2x + -18x = 0 Combine like terms: 2x + -18x = -16x 30 + -16x = 0 Solving 30 + -16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -16x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -16x = 0 + -30 -16x = 0 + -30 Combine like terms: 0 + -30 = -30 -16x = -30 Divide each side by '-16'. x = 1.875 Simplifying x = 1.875
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