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Simplifying 2(x + 2) = 5(11 + -3x) Reorder the terms: 2(2 + x) = 5(11 + -3x) (2 * 2 + x * 2) = 5(11 + -3x) (4 + 2x) = 5(11 + -3x) 4 + 2x = (11 * 5 + -3x * 5) 4 + 2x = (55 + -15x) Solving 4 + 2x = 55 + -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. 4 + 2x + 15x = 55 + -15x + 15x Combine like terms: 2x + 15x = 17x 4 + 17x = 55 + -15x + 15x Combine like terms: -15x + 15x = 0 4 + 17x = 55 + 0 4 + 17x = 55 Add '-4' to each side of the equation. 4 + -4 + 17x = 55 + -4 Combine like terms: 4 + -4 = 0 0 + 17x = 55 + -4 17x = 55 + -4 Combine like terms: 55 + -4 = 51 17x = 51 Divide each side by '17'. x = 3 Simplifying x = 3
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