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Simplifying 5(3x + 2) = 7x + 2 Reorder the terms: 5(2 + 3x) = 7x + 2 (2 * 5 + 3x * 5) = 7x + 2 (10 + 15x) = 7x + 2 Reorder the terms: 10 + 15x = 2 + 7x Solving 10 + 15x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 15x + -7x = 2 + 7x + -7x Combine like terms: 15x + -7x = 8x 10 + 8x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + 8x = 2 + 0 10 + 8x = 2 Add '-10' to each side of the equation. 10 + -10 + 8x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 2 + -10 8x = 2 + -10 Combine like terms: 2 + -10 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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