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Simplifying 5(2x + 7) = 3(x + 21) Reorder the terms: 5(7 + 2x) = 3(x + 21) (7 * 5 + 2x * 5) = 3(x + 21) (35 + 10x) = 3(x + 21) Reorder the terms: 35 + 10x = 3(21 + x) 35 + 10x = (21 * 3 + x * 3) 35 + 10x = (63 + 3x) Solving 35 + 10x = 63 + 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. 35 + 10x + -3x = 63 + 3x + -3x Combine like terms: 10x + -3x = 7x 35 + 7x = 63 + 3x + -3x Combine like terms: 3x + -3x = 0 35 + 7x = 63 + 0 35 + 7x = 63 Add '-35' to each side of the equation. 35 + -35 + 7x = 63 + -35 Combine like terms: 35 + -35 = 0 0 + 7x = 63 + -35 7x = 63 + -35 Combine like terms: 63 + -35 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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