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Simplifying 5x + -1(x + -3) = 3x + 6 + -5 Reorder the terms: 5x + -1(-3 + x) = 3x + 6 + -5 5x + (-3 * -1 + x * -1) = 3x + 6 + -5 5x + (3 + -1x) = 3x + 6 + -5 Reorder the terms: 3 + 5x + -1x = 3x + 6 + -5 Combine like terms: 5x + -1x = 4x 3 + 4x = 3x + 6 + -5 Reorder the terms: 3 + 4x = 6 + -5 + 3x Combine like terms: 6 + -5 = 1 3 + 4x = 1 + 3x Solving 3 + 4x = 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. 3 + 4x + -3x = 1 + 3x + -3x Combine like terms: 4x + -3x = 1x 3 + 1x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + 1x = 1 + 0 3 + 1x = 1 Add '-3' to each side of the equation. 3 + -3 + 1x = 1 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 1 + -3 1x = 1 + -3 Combine like terms: 1 + -3 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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