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Simplifying 4(3x + -5) = 5 + 2(7x + 15) Reorder the terms: 4(-5 + 3x) = 5 + 2(7x + 15) (-5 * 4 + 3x * 4) = 5 + 2(7x + 15) (-20 + 12x) = 5 + 2(7x + 15) Reorder the terms: -20 + 12x = 5 + 2(15 + 7x) -20 + 12x = 5 + (15 * 2 + 7x * 2) -20 + 12x = 5 + (30 + 14x) Combine like terms: 5 + 30 = 35 -20 + 12x = 35 + 14x Solving -20 + 12x = 35 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -20 + 12x + -14x = 35 + 14x + -14x Combine like terms: 12x + -14x = -2x -20 + -2x = 35 + 14x + -14x Combine like terms: 14x + -14x = 0 -20 + -2x = 35 + 0 -20 + -2x = 35 Add '20' to each side of the equation. -20 + 20 + -2x = 35 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = 35 + 20 -2x = 35 + 20 Combine like terms: 35 + 20 = 55 -2x = 55 Divide each side by '-2'. x = -27.5 Simplifying x = -27.5
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