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Simplifying 5(x + -1) + 3x + -4 = 3x + 11 Reorder the terms: 5(-1 + x) + 3x + -4 = 3x + 11 (-1 * 5 + x * 5) + 3x + -4 = 3x + 11 (-5 + 5x) + 3x + -4 = 3x + 11 Reorder the terms: -5 + -4 + 5x + 3x = 3x + 11 Combine like terms: -5 + -4 = -9 -9 + 5x + 3x = 3x + 11 Combine like terms: 5x + 3x = 8x -9 + 8x = 3x + 11 Reorder the terms: -9 + 8x = 11 + 3x Solving -9 + 8x = 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. -9 + 8x + -3x = 11 + 3x + -3x Combine like terms: 8x + -3x = 5x -9 + 5x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 5x = 11 + 0 -9 + 5x = 11 Add '9' to each side of the equation. -9 + 9 + 5x = 11 + 9 Combine like terms: -9 + 9 = 0 0 + 5x = 11 + 9 5x = 11 + 9 Combine like terms: 11 + 9 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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