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Simplifying 40 + 5x = 5(7 + 2x) 40 + 5x = (7 * 5 + 2x * 5) 40 + 5x = (35 + 10x) Solving 40 + 5x = 35 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 40 + 5x + -10x = 35 + 10x + -10x Combine like terms: 5x + -10x = -5x 40 + -5x = 35 + 10x + -10x Combine like terms: 10x + -10x = 0 40 + -5x = 35 + 0 40 + -5x = 35 Add '-40' to each side of the equation. 40 + -40 + -5x = 35 + -40 Combine like terms: 40 + -40 = 0 0 + -5x = 35 + -40 -5x = 35 + -40 Combine like terms: 35 + -40 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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