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Simplifying 4x + -2(2x + -8) = 6(2x + -5) + 5x Reorder the terms: 4x + -2(-8 + 2x) = 6(2x + -5) + 5x 4x + (-8 * -2 + 2x * -2) = 6(2x + -5) + 5x 4x + (16 + -4x) = 6(2x + -5) + 5x Reorder the terms: 16 + 4x + -4x = 6(2x + -5) + 5x Combine like terms: 4x + -4x = 0 16 + 0 = 6(2x + -5) + 5x 16 = 6(2x + -5) + 5x Reorder the terms: 16 = 6(-5 + 2x) + 5x 16 = (-5 * 6 + 2x * 6) + 5x 16 = (-30 + 12x) + 5x Combine like terms: 12x + 5x = 17x 16 = -30 + 17x Solving 16 = -30 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 16 + -17x = -30 + 17x + -17x Combine like terms: 17x + -17x = 0 16 + -17x = -30 + 0 16 + -17x = -30 Add '-16' to each side of the equation. 16 + -16 + -17x = -30 + -16 Combine like terms: 16 + -16 = 0 0 + -17x = -30 + -16 -17x = -30 + -16 Combine like terms: -30 + -16 = -46 -17x = -46 Divide each side by '-17'. x = 2.705882353 Simplifying x = 2.705882353
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