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Simplifying 6(2x + -5) + 8 = 2(2x + -5) Reorder the terms: 6(-5 + 2x) + 8 = 2(2x + -5) (-5 * 6 + 2x * 6) + 8 = 2(2x + -5) (-30 + 12x) + 8 = 2(2x + -5) Reorder the terms: -30 + 8 + 12x = 2(2x + -5) Combine like terms: -30 + 8 = -22 -22 + 12x = 2(2x + -5) Reorder the terms: -22 + 12x = 2(-5 + 2x) -22 + 12x = (-5 * 2 + 2x * 2) -22 + 12x = (-10 + 4x) Solving -22 + 12x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -22 + 12x + -4x = -10 + 4x + -4x Combine like terms: 12x + -4x = 8x -22 + 8x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -22 + 8x = -10 + 0 -22 + 8x = -10 Add '22' to each side of the equation. -22 + 22 + 8x = -10 + 22 Combine like terms: -22 + 22 = 0 0 + 8x = -10 + 22 8x = -10 + 22 Combine like terms: -10 + 22 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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