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Simplifying 3(2x + -1) + -1(x + 1) = 30 + -3(5x + -2) Reorder the terms: 3(-1 + 2x) + -1(x + 1) = 30 + -3(5x + -2) (-1 * 3 + 2x * 3) + -1(x + 1) = 30 + -3(5x + -2) (-3 + 6x) + -1(x + 1) = 30 + -3(5x + -2) Reorder the terms: -3 + 6x + -1(1 + x) = 30 + -3(5x + -2) -3 + 6x + (1 * -1 + x * -1) = 30 + -3(5x + -2) -3 + 6x + (-1 + -1x) = 30 + -3(5x + -2) Reorder the terms: -3 + -1 + 6x + -1x = 30 + -3(5x + -2) Combine like terms: -3 + -1 = -4 -4 + 6x + -1x = 30 + -3(5x + -2) Combine like terms: 6x + -1x = 5x -4 + 5x = 30 + -3(5x + -2) Reorder the terms: -4 + 5x = 30 + -3(-2 + 5x) -4 + 5x = 30 + (-2 * -3 + 5x * -3) -4 + 5x = 30 + (6 + -15x) Combine like terms: 30 + 6 = 36 -4 + 5x = 36 + -15x Solving -4 + 5x = 36 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -4 + 5x + 15x = 36 + -15x + 15x Combine like terms: 5x + 15x = 20x -4 + 20x = 36 + -15x + 15x Combine like terms: -15x + 15x = 0 -4 + 20x = 36 + 0 -4 + 20x = 36 Add '4' to each side of the equation. -4 + 4 + 20x = 36 + 4 Combine like terms: -4 + 4 = 0 0 + 20x = 36 + 4 20x = 36 + 4 Combine like terms: 36 + 4 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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