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Simplifying 2(x + 8) + -6x = 5x + -2 Reorder the terms: 2(8 + x) + -6x = 5x + -2 (8 * 2 + x * 2) + -6x = 5x + -2 (16 + 2x) + -6x = 5x + -2 Combine like terms: 2x + -6x = -4x 16 + -4x = 5x + -2 Reorder the terms: 16 + -4x = -2 + 5x Solving 16 + -4x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 16 + -4x + -5x = -2 + 5x + -5x Combine like terms: -4x + -5x = -9x 16 + -9x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + -9x = -2 + 0 16 + -9x = -2 Add '-16' to each side of the equation. 16 + -16 + -9x = -2 + -16 Combine like terms: 16 + -16 = 0 0 + -9x = -2 + -16 -9x = -2 + -16 Combine like terms: -2 + -16 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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