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Simplifying 2(4x + -5) + -1(3x + 6) = -2(x + 3) Reorder the terms: 2(-5 + 4x) + -1(3x + 6) = -2(x + 3) (-5 * 2 + 4x * 2) + -1(3x + 6) = -2(x + 3) (-10 + 8x) + -1(3x + 6) = -2(x + 3) Reorder the terms: -10 + 8x + -1(6 + 3x) = -2(x + 3) -10 + 8x + (6 * -1 + 3x * -1) = -2(x + 3) -10 + 8x + (-6 + -3x) = -2(x + 3) Reorder the terms: -10 + -6 + 8x + -3x = -2(x + 3) Combine like terms: -10 + -6 = -16 -16 + 8x + -3x = -2(x + 3) Combine like terms: 8x + -3x = 5x -16 + 5x = -2(x + 3) Reorder the terms: -16 + 5x = -2(3 + x) -16 + 5x = (3 * -2 + x * -2) -16 + 5x = (-6 + -2x) Solving -16 + 5x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -16 + 5x + 2x = -6 + -2x + 2x Combine like terms: 5x + 2x = 7x -16 + 7x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 7x = -6 + 0 -16 + 7x = -6 Add '16' to each side of the equation. -16 + 16 + 7x = -6 + 16 Combine like terms: -16 + 16 = 0 0 + 7x = -6 + 16 7x = -6 + 16 Combine like terms: -6 + 16 = 10 7x = 10 Divide each side by '7'. x = 1.428571429 Simplifying x = 1.428571429
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