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Simplifying 5x + -1(5x + 7) = -3x + 11 Reorder the terms: 5x + -1(7 + 5x) = -3x + 11 5x + (7 * -1 + 5x * -1) = -3x + 11 5x + (-7 + -5x) = -3x + 11 Reorder the terms: -7 + 5x + -5x = -3x + 11 Combine like terms: 5x + -5x = 0 -7 + 0 = -3x + 11 -7 = -3x + 11 Reorder the terms: -7 = 11 + -3x Solving -7 = 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. -7 + 3x = 11 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 3x = 11 + 0 -7 + 3x = 11 Add '7' to each side of the equation. -7 + 7 + 3x = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 11 + 7 3x = 11 + 7 Combine like terms: 11 + 7 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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