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Simplifying 7(x + 1) = 5(21) + -3(x + 2) Reorder the terms: 7(1 + x) = 5(21) + -3(x + 2) (1 * 7 + x * 7) = 5(21) + -3(x + 2) (7 + 7x) = 5(21) + -3(x + 2) Multiply 5 * 21 7 + 7x = 105 + -3(x + 2) Reorder the terms: 7 + 7x = 105 + -3(2 + x) 7 + 7x = 105 + (2 * -3 + x * -3) 7 + 7x = 105 + (-6 + -3x) Combine like terms: 105 + -6 = 99 7 + 7x = 99 + -3x Solving 7 + 7x = 99 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 7 + 7x + 3x = 99 + -3x + 3x Combine like terms: 7x + 3x = 10x 7 + 10x = 99 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 10x = 99 + 0 7 + 10x = 99 Add '-7' to each side of the equation. 7 + -7 + 10x = 99 + -7 Combine like terms: 7 + -7 = 0 0 + 10x = 99 + -7 10x = 99 + -7 Combine like terms: 99 + -7 = 92 10x = 92 Divide each side by '10'. x = 9.2 Simplifying x = 9.2
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