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Simplifying 6(2x + -5) = 2x + 20 + 4(x + 4) Reorder the terms: 6(-5 + 2x) = 2x + 20 + 4(x + 4) (-5 * 6 + 2x * 6) = 2x + 20 + 4(x + 4) (-30 + 12x) = 2x + 20 + 4(x + 4) Reorder the terms: -30 + 12x = 2x + 20 + 4(4 + x) -30 + 12x = 2x + 20 + (4 * 4 + x * 4) -30 + 12x = 2x + 20 + (16 + 4x) Reorder the terms: -30 + 12x = 20 + 16 + 2x + 4x Combine like terms: 20 + 16 = 36 -30 + 12x = 36 + 2x + 4x Combine like terms: 2x + 4x = 6x -30 + 12x = 36 + 6x Solving -30 + 12x = 36 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -30 + 12x + -6x = 36 + 6x + -6x Combine like terms: 12x + -6x = 6x -30 + 6x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 + 6x = 36 + 0 -30 + 6x = 36 Add '30' to each side of the equation. -30 + 30 + 6x = 36 + 30 Combine like terms: -30 + 30 = 0 0 + 6x = 36 + 30 6x = 36 + 30 Combine like terms: 36 + 30 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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