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Simplifying 2(6x + 30) = x + 5(x + 4) + -2x Reorder the terms: 2(30 + 6x) = x + 5(x + 4) + -2x (30 * 2 + 6x * 2) = x + 5(x + 4) + -2x (60 + 12x) = x + 5(x + 4) + -2x Reorder the terms: 60 + 12x = x + 5(4 + x) + -2x 60 + 12x = x + (4 * 5 + x * 5) + -2x 60 + 12x = x + (20 + 5x) + -2x Reorder the terms: 60 + 12x = 20 + x + 5x + -2x Combine like terms: x + 5x = 6x 60 + 12x = 20 + 6x + -2x Combine like terms: 6x + -2x = 4x 60 + 12x = 20 + 4x Solving 60 + 12x = 20 + 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. 60 + 12x + -4x = 20 + 4x + -4x Combine like terms: 12x + -4x = 8x 60 + 8x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 60 + 8x = 20 + 0 60 + 8x = 20 Add '-60' to each side of the equation. 60 + -60 + 8x = 20 + -60 Combine like terms: 60 + -60 = 0 0 + 8x = 20 + -60 8x = 20 + -60 Combine like terms: 20 + -60 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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