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Simplifying 5x + 3(x + -1) = 6x + -11 Reorder the terms: 5x + 3(-1 + x) = 6x + -11 5x + (-1 * 3 + x * 3) = 6x + -11 5x + (-3 + 3x) = 6x + -11 Reorder the terms: -3 + 5x + 3x = 6x + -11 Combine like terms: 5x + 3x = 8x -3 + 8x = 6x + -11 Reorder the terms: -3 + 8x = -11 + 6x Solving -3 + 8x = -11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + 8x + -6x = -11 + 6x + -6x Combine like terms: 8x + -6x = 2x -3 + 2x = -11 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + 2x = -11 + 0 -3 + 2x = -11 Add '3' to each side of the equation. -3 + 3 + 2x = -11 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = -11 + 3 2x = -11 + 3 Combine like terms: -11 + 3 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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