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