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Simplifying 7(x + 15) = 3(x + 4) Reorder the terms: 7(15 + x) = 3(x + 4) (15 * 7 + x * 7) = 3(x + 4) (105 + 7x) = 3(x + 4) Reorder the terms: 105 + 7x = 3(4 + x) 105 + 7x = (4 * 3 + x * 3) 105 + 7x = (12 + 3x) Solving 105 + 7x = 12 + 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. 105 + 7x + -3x = 12 + 3x + -3x Combine like terms: 7x + -3x = 4x 105 + 4x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 105 + 4x = 12 + 0 105 + 4x = 12 Add '-105' to each side of the equation. 105 + -105 + 4x = 12 + -105 Combine like terms: 105 + -105 = 0 0 + 4x = 12 + -105 4x = 12 + -105 Combine like terms: 12 + -105 = -93 4x = -93 Divide each side by '4'. x = -23.25 Simplifying x = -23.25
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