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Simplifying 2(3x + 8) = 4x + -6x Reorder the terms: 2(8 + 3x) = 4x + -6x (8 * 2 + 3x * 2) = 4x + -6x (16 + 6x) = 4x + -6x Combine like terms: 4x + -6x = -2x 16 + 6x = -2x Solving 16 + 6x = -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 + 6x + 2x = -2x + 2x Combine like terms: 6x + 2x = 8x 16 + 8x = -2x + 2x Combine like terms: -2x + 2x = 0 16 + 8x = 0 Add '-16' to each side of the equation. 16 + -16 + 8x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 8x = 0 + -16 8x = 0 + -16 Combine like terms: 0 + -16 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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