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Simplifying 7(4 + -2x) = 3x + 11 (4 * 7 + -2x * 7) = 3x + 11 (28 + -14x) = 3x + 11 Reorder the terms: 28 + -14x = 11 + 3x Solving 28 + -14x = 11 + 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. 28 + -14x + -3x = 11 + 3x + -3x Combine like terms: -14x + -3x = -17x 28 + -17x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 28 + -17x = 11 + 0 28 + -17x = 11 Add '-28' to each side of the equation. 28 + -28 + -17x = 11 + -28 Combine like terms: 28 + -28 = 0 0 + -17x = 11 + -28 -17x = 11 + -28 Combine like terms: 11 + -28 = -17 -17x = -17 Divide each side by '-17'. x = 1 Simplifying x = 1
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