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Simplifying -2(3x + 5) = -3(4x + -3) + -1 Reorder the terms: -2(5 + 3x) = -3(4x + -3) + -1 (5 * -2 + 3x * -2) = -3(4x + -3) + -1 (-10 + -6x) = -3(4x + -3) + -1 Reorder the terms: -10 + -6x = -3(-3 + 4x) + -1 -10 + -6x = (-3 * -3 + 4x * -3) + -1 -10 + -6x = (9 + -12x) + -1 Reorder the terms: -10 + -6x = 9 + -1 + -12x Combine like terms: 9 + -1 = 8 -10 + -6x = 8 + -12x Solving -10 + -6x = 8 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -10 + -6x + 12x = 8 + -12x + 12x Combine like terms: -6x + 12x = 6x -10 + 6x = 8 + -12x + 12x Combine like terms: -12x + 12x = 0 -10 + 6x = 8 + 0 -10 + 6x = 8 Add '10' to each side of the equation. -10 + 10 + 6x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 8 + 10 6x = 8 + 10 Combine like terms: 8 + 10 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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