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Simplifying 3x + 2(x + 2) = 30(2x + -5) Reorder the terms: 3x + 2(2 + x) = 30(2x + -5) 3x + (2 * 2 + x * 2) = 30(2x + -5) 3x + (4 + 2x) = 30(2x + -5) Reorder the terms: 4 + 3x + 2x = 30(2x + -5) Combine like terms: 3x + 2x = 5x 4 + 5x = 30(2x + -5) Reorder the terms: 4 + 5x = 30(-5 + 2x) 4 + 5x = (-5 * 30 + 2x * 30) 4 + 5x = (-150 + 60x) Solving 4 + 5x = -150 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 4 + 5x + -60x = -150 + 60x + -60x Combine like terms: 5x + -60x = -55x 4 + -55x = -150 + 60x + -60x Combine like terms: 60x + -60x = 0 4 + -55x = -150 + 0 4 + -55x = -150 Add '-4' to each side of the equation. 4 + -4 + -55x = -150 + -4 Combine like terms: 4 + -4 = 0 0 + -55x = -150 + -4 -55x = -150 + -4 Combine like terms: -150 + -4 = -154 -55x = -154 Divide each side by '-55'. x = 2.8 Simplifying x = 2.8
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