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Simplifying 2(3x + 20) = 2(8x + -5) Reorder the terms: 2(20 + 3x) = 2(8x + -5) (20 * 2 + 3x * 2) = 2(8x + -5) (40 + 6x) = 2(8x + -5) Reorder the terms: 40 + 6x = 2(-5 + 8x) 40 + 6x = (-5 * 2 + 8x * 2) 40 + 6x = (-10 + 16x) Solving 40 + 6x = -10 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 40 + 6x + -16x = -10 + 16x + -16x Combine like terms: 6x + -16x = -10x 40 + -10x = -10 + 16x + -16x Combine like terms: 16x + -16x = 0 40 + -10x = -10 + 0 40 + -10x = -10 Add '-40' to each side of the equation. 40 + -40 + -10x = -10 + -40 Combine like terms: 40 + -40 = 0 0 + -10x = -10 + -40 -10x = -10 + -40 Combine like terms: -10 + -40 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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