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Simplifying 5(x + -4) + -11 = 3x + 1 Reorder the terms: 5(-4 + x) + -11 = 3x + 1 (-4 * 5 + x * 5) + -11 = 3x + 1 (-20 + 5x) + -11 = 3x + 1 Reorder the terms: -20 + -11 + 5x = 3x + 1 Combine like terms: -20 + -11 = -31 -31 + 5x = 3x + 1 Reorder the terms: -31 + 5x = 1 + 3x Solving -31 + 5x = 1 + 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. -31 + 5x + -3x = 1 + 3x + -3x Combine like terms: 5x + -3x = 2x -31 + 2x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -31 + 2x = 1 + 0 -31 + 2x = 1 Add '31' to each side of the equation. -31 + 31 + 2x = 1 + 31 Combine like terms: -31 + 31 = 0 0 + 2x = 1 + 31 2x = 1 + 31 Combine like terms: 1 + 31 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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