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Simplifying 5(x + 3) * 2 = 3(x + 7) + 5 Reorder the terms: 5(3 + x) * 2 = 3(x + 7) + 5 Reorder the terms for easier multiplication: 5 * 2(3 + x) = 3(x + 7) + 5 Multiply 5 * 2 10(3 + x) = 3(x + 7) + 5 (3 * 10 + x * 10) = 3(x + 7) + 5 (30 + 10x) = 3(x + 7) + 5 Reorder the terms: 30 + 10x = 3(7 + x) + 5 30 + 10x = (7 * 3 + x * 3) + 5 30 + 10x = (21 + 3x) + 5 Reorder the terms: 30 + 10x = 21 + 5 + 3x Combine like terms: 21 + 5 = 26 30 + 10x = 26 + 3x Solving 30 + 10x = 26 + 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. 30 + 10x + -3x = 26 + 3x + -3x Combine like terms: 10x + -3x = 7x 30 + 7x = 26 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + 7x = 26 + 0 30 + 7x = 26 Add '-30' to each side of the equation. 30 + -30 + 7x = 26 + -30 Combine like terms: 30 + -30 = 0 0 + 7x = 26 + -30 7x = 26 + -30 Combine like terms: 26 + -30 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714
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