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Simplifying 11x + 33 = 5(3x + 1) Reorder the terms: 33 + 11x = 5(3x + 1) Reorder the terms: 33 + 11x = 5(1 + 3x) 33 + 11x = (1 * 5 + 3x * 5) 33 + 11x = (5 + 15x) Solving 33 + 11x = 5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 33 + 11x + -15x = 5 + 15x + -15x Combine like terms: 11x + -15x = -4x 33 + -4x = 5 + 15x + -15x Combine like terms: 15x + -15x = 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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