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Simplifying 7x + 3(2 + 5) = 10x + 17 Combine like terms: 2 + 5 = 7 7x + 3(7) = 10x + 17 Multiply 3 * 7 7x + 21 = 10x + 17 Reorder the terms: 21 + 7x = 10x + 17 Reorder the terms: 21 + 7x = 17 + 10x Solving 21 + 7x = 17 + 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. 21 + 7x + -10x = 17 + 10x + -10x Combine like terms: 7x + -10x = -3x 21 + -3x = 17 + 10x + -10x Combine like terms: 10x + -10x = 0 21 + -3x = 17 + 0 21 + -3x = 17 Add '-21' to each side of the equation. 21 + -21 + -3x = 17 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = 17 + -21 -3x = 17 + -21 Combine like terms: 17 + -21 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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