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Simplifying 2x + 40 = 4(3x + 5) Reorder the terms: 40 + 2x = 4(3x + 5) Reorder the terms: 40 + 2x = 4(5 + 3x) 40 + 2x = (5 * 4 + 3x * 4) 40 + 2x = (20 + 12x) Solving 40 + 2x = 20 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 40 + 2x + -12x = 20 + 12x + -12x Combine like terms: 2x + -12x = -10x 40 + -10x = 20 + 12x + -12x Combine like terms: 12x + -12x = 0 40 + -10x = 20 + 0 40 + -10x = 20 Add '-40' to each side of the equation. 40 + -40 + -10x = 20 + -40 Combine like terms: 40 + -40 = 0 0 + -10x = 20 + -40 -10x = 20 + -40 Combine like terms: 20 + -40 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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