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Simplifying 11x + 13 = 7(x + 3) Reorder the terms: 13 + 11x = 7(x + 3) Reorder the terms: 13 + 11x = 7(3 + x) 13 + 11x = (3 * 7 + x * 7) 13 + 11x = (21 + 7x) Solving 13 + 11x = 21 + 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. 13 + 11x + -7x = 21 + 7x + -7x Combine like terms: 11x + -7x = 4x 13 + 4x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 13 + 4x = 21 + 0 13 + 4x = 21 Add '-13' to each side of the equation. 13 + -13 + 4x = 21 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 21 + -13 4x = 21 + -13 Combine like terms: 21 + -13 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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