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Simplifying -2(3x + 1) + -5(x + -2) = 3(-4x + 5) Reorder the terms: -2(1 + 3x) + -5(x + -2) = 3(-4x + 5) (1 * -2 + 3x * -2) + -5(x + -2) = 3(-4x + 5) (-2 + -6x) + -5(x + -2) = 3(-4x + 5) Reorder the terms: -2 + -6x + -5(-2 + x) = 3(-4x + 5) -2 + -6x + (-2 * -5 + x * -5) = 3(-4x + 5) -2 + -6x + (10 + -5x) = 3(-4x + 5) Reorder the terms: -2 + 10 + -6x + -5x = 3(-4x + 5) Combine like terms: -2 + 10 = 8 8 + -6x + -5x = 3(-4x + 5) Combine like terms: -6x + -5x = -11x 8 + -11x = 3(-4x + 5) Reorder the terms: 8 + -11x = 3(5 + -4x) 8 + -11x = (5 * 3 + -4x * 3) 8 + -11x = (15 + -12x) Solving 8 + -11x = 15 + -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. 8 + -11x + 12x = 15 + -12x + 12x Combine like terms: -11x + 12x = 1x 8 + 1x = 15 + -12x + 12x Combine like terms: -12x + 12x = 0 8 + 1x = 15 + 0 8 + 1x = 15 Add '-8' to each side of the equation. 8 + -8 + 1x = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 15 + -8 1x = 15 + -8 Combine like terms: 15 + -8 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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