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Simplifying 20 + -1(3x + 5) = 2(2x + -15) Reorder the terms: 20 + -1(5 + 3x) = 2(2x + -15) 20 + (5 * -1 + 3x * -1) = 2(2x + -15) 20 + (-5 + -3x) = 2(2x + -15) Combine like terms: 20 + -5 = 15 15 + -3x = 2(2x + -15) Reorder the terms: 15 + -3x = 2(-15 + 2x) 15 + -3x = (-15 * 2 + 2x * 2) 15 + -3x = (-30 + 4x) Solving 15 + -3x = -30 + 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. 15 + -3x + -4x = -30 + 4x + -4x Combine like terms: -3x + -4x = -7x 15 + -7x = -30 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -7x = -30 + 0 15 + -7x = -30 Add '-15' to each side of the equation. 15 + -15 + -7x = -30 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = -30 + -15 -7x = -30 + -15 Combine like terms: -30 + -15 = -45 -7x = -45 Divide each side by '-7'. x = 6.428571429 Simplifying x = 6.428571429
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