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Simplifying 4(11x + -14) = 2(1 + -7x) Reorder the terms: 4(-14 + 11x) = 2(1 + -7x) (-14 * 4 + 11x * 4) = 2(1 + -7x) (-56 + 44x) = 2(1 + -7x) -56 + 44x = (1 * 2 + -7x * 2) -56 + 44x = (2 + -14x) Solving -56 + 44x = 2 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -56 + 44x + 14x = 2 + -14x + 14x Combine like terms: 44x + 14x = 58x -56 + 58x = 2 + -14x + 14x Combine like terms: -14x + 14x = 0 -56 + 58x = 2 + 0 -56 + 58x = 2 Add '56' to each side of the equation. -56 + 56 + 58x = 2 + 56 Combine like terms: -56 + 56 = 0 0 + 58x = 2 + 56 58x = 2 + 56 Combine like terms: 2 + 56 = 58 58x = 58 Divide each side by '58'. x = 1 Simplifying x = 1
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