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Simplifying 4(3x + -5) = 5 + 2(x + 15) Reorder the terms: 4(-5 + 3x) = 5 + 2(x + 15) (-5 * 4 + 3x * 4) = 5 + 2(x + 15) (-20 + 12x) = 5 + 2(x + 15) Reorder the terms: -20 + 12x = 5 + 2(15 + x) -20 + 12x = 5 + (15 * 2 + x * 2) -20 + 12x = 5 + (30 + 2x) Combine like terms: 5 + 30 = 35 -20 + 12x = 35 + 2x Solving -20 + 12x = 35 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -20 + 12x + -2x = 35 + 2x + -2x Combine like terms: 12x + -2x = 10x -20 + 10x = 35 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 10x = 35 + 0 -20 + 10x = 35 Add '20' to each side of the equation. -20 + 20 + 10x = 35 + 20 Combine like terms: -20 + 20 = 0 0 + 10x = 35 + 20 10x = 35 + 20 Combine like terms: 35 + 20 = 55 10x = 55 Divide each side by '10'. x = 5.5 Simplifying x = 5.5
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