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Simplifying 5x + 5 + -6(x + 1) = 3x + -1 Reorder the terms: 5x + 5 + -6(1 + x) = 3x + -1 5x + 5 + (1 * -6 + x * -6) = 3x + -1 5x + 5 + (-6 + -6x) = 3x + -1 Reorder the terms: 5 + -6 + 5x + -6x = 3x + -1 Combine like terms: 5 + -6 = -1 -1 + 5x + -6x = 3x + -1 Combine like terms: 5x + -6x = -1x -1 + -1x = 3x + -1 Reorder the terms: -1 + -1x = -1 + 3x Add '1' to each side of the equation. -1 + 1 + -1x = -1 + 1 + 3x Combine like terms: -1 + 1 = 0 0 + -1x = -1 + 1 + 3x -1x = -1 + 1 + 3x Combine like terms: -1 + 1 = 0 -1x = 0 + 3x -1x = 3x Solving -1x = 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. -1x + -3x = 3x + -3x Combine like terms: -1x + -3x = -4x -4x = 3x + -3x Combine like terms: 3x + -3x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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