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Simplifying -3x + -2(4 + 5x) = 15 + -3(2x + -3) -3x + (4 * -2 + 5x * -2) = 15 + -3(2x + -3) -3x + (-8 + -10x) = 15 + -3(2x + -3) Reorder the terms: -8 + -3x + -10x = 15 + -3(2x + -3) Combine like terms: -3x + -10x = -13x -8 + -13x = 15 + -3(2x + -3) Reorder the terms: -8 + -13x = 15 + -3(-3 + 2x) -8 + -13x = 15 + (-3 * -3 + 2x * -3) -8 + -13x = 15 + (9 + -6x) Combine like terms: 15 + 9 = 24 -8 + -13x = 24 + -6x Solving -8 + -13x = 24 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -8 + -13x + 6x = 24 + -6x + 6x Combine like terms: -13x + 6x = -7x -8 + -7x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + -7x = 24 + 0 -8 + -7x = 24 Add '8' to each side of the equation. -8 + 8 + -7x = 24 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = 24 + 8 -7x = 24 + 8 Combine like terms: 24 + 8 = 32 -7x = 32 Divide each side by '-7'. x = -4.571428571 Simplifying x = -4.571428571
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