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Simplifying 3(x + 11) = 7x + 5 Reorder the terms: 3(11 + x) = 7x + 5 (11 * 3 + x * 3) = 7x + 5 (33 + 3x) = 7x + 5 Reorder the terms: 33 + 3x = 5 + 7x Solving 33 + 3x = 5 + 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. 33 + 3x + -7x = 5 + 7x + -7x Combine like terms: 3x + -7x = -4x 33 + -4x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 33 + -4x = 5 + 0 33 + -4x = 5 Add '-33' to each side of the equation. 33 + -33 + -4x = 5 + -33 Combine like terms: 33 + -33 = 0 0 + -4x = 5 + -33 -4x = 5 + -33 Combine like terms: 5 + -33 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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