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Simplifying -3[x + -5(2x + -3)] = 3x + -8 Reorder the terms: -3[x + -5(-3 + 2x)] = 3x + -8 -3[x + (-3 * -5 + 2x * -5)] = 3x + -8 -3[x + (15 + -10x)] = 3x + -8 Reorder the terms: -3[15 + x + -10x] = 3x + -8 Combine like terms: x + -10x = -9x -3[15 + -9x] = 3x + -8 [15 * -3 + -9x * -3] = 3x + -8 [-45 + 27x] = 3x + -8 Reorder the terms: -45 + 27x = -8 + 3x Solving -45 + 27x = -8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -45 + 27x + -3x = -8 + 3x + -3x Combine like terms: 27x + -3x = 24x -45 + 24x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 -45 + 24x = -8 + 0 -45 + 24x = -8 Add '45' to each side of the equation. -45 + 45 + 24x = -8 + 45 Combine like terms: -45 + 45 = 0 0 + 24x = -8 + 45 24x = -8 + 45 Combine like terms: -8 + 45 = 37 24x = 37 Divide each side by '24'. x = 1.541666667 Simplifying x = 1.541666667
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