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Simplifying 6(2x + -3) + -1(5x + 2) = -2(4x + 1) Reorder the terms: 6(-3 + 2x) + -1(5x + 2) = -2(4x + 1) (-3 * 6 + 2x * 6) + -1(5x + 2) = -2(4x + 1) (-18 + 12x) + -1(5x + 2) = -2(4x + 1) Reorder the terms: -18 + 12x + -1(2 + 5x) = -2(4x + 1) -18 + 12x + (2 * -1 + 5x * -1) = -2(4x + 1) -18 + 12x + (-2 + -5x) = -2(4x + 1) Reorder the terms: -18 + -2 + 12x + -5x = -2(4x + 1) Combine like terms: -18 + -2 = -20 -20 + 12x + -5x = -2(4x + 1) Combine like terms: 12x + -5x = 7x -20 + 7x = -2(4x + 1) Reorder the terms: -20 + 7x = -2(1 + 4x) -20 + 7x = (1 * -2 + 4x * -2) -20 + 7x = (-2 + -8x) Solving -20 + 7x = -2 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -20 + 7x + 8x = -2 + -8x + 8x Combine like terms: 7x + 8x = 15x -20 + 15x = -2 + -8x + 8x Combine like terms: -8x + 8x = 0 -20 + 15x = -2 + 0 -20 + 15x = -2 Add '20' to each side of the equation. -20 + 20 + 15x = -2 + 20 Combine like terms: -20 + 20 = 0 0 + 15x = -2 + 20 15x = -2 + 20 Combine like terms: -2 + 20 = 18 15x = 18 Divide each side by '15'. x = 1.2 Simplifying x = 1.2
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