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Simplifying 3(x + 5) = 7x + 2 Reorder the terms: 3(5 + x) = 7x + 2 (5 * 3 + x * 3) = 7x + 2 (15 + 3x) = 7x + 2 Reorder the terms: 15 + 3x = 2 + 7x Solving 15 + 3x = 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. 15 + 3x + -7x = 2 + 7x + -7x Combine like terms: 3x + -7x = -4x 15 + -4x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + -4x = 2 + 0 15 + -4x = 2 Add '-15' to each side of the equation. 15 + -15 + -4x = 2 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = 2 + -15 -4x = 2 + -15 Combine like terms: 2 + -15 = -13 -4x = -13 Divide each side by '-4'. x = 3.25 Simplifying x = 3.25
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