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Simplifying 2(2x + -8) = 3(2 + -3x) Reorder the terms: 2(-8 + 2x) = 3(2 + -3x) (-8 * 2 + 2x * 2) = 3(2 + -3x) (-16 + 4x) = 3(2 + -3x) -16 + 4x = (2 * 3 + -3x * 3) -16 + 4x = (6 + -9x) Solving -16 + 4x = 6 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -16 + 4x + 9x = 6 + -9x + 9x Combine like terms: 4x + 9x = 13x -16 + 13x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 -16 + 13x = 6 + 0 -16 + 13x = 6 Add '16' to each side of the equation. -16 + 16 + 13x = 6 + 16 Combine like terms: -16 + 16 = 0 0 + 13x = 6 + 16 13x = 6 + 16 Combine like terms: 6 + 16 = 22 13x = 22 Divide each side by '13'. x = 1.692307692 Simplifying x = 1.692307692
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