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Simplifying 3(x + -5) = 1 + (x + -6) Reorder the terms: 3(-5 + x) = 1 + (x + -6) (-5 * 3 + x * 3) = 1 + (x + -6) (-15 + 3x) = 1 + (x + -6) Reorder the terms: -15 + 3x = 1 + (-6 + x) Remove parenthesis around (-6 + x) -15 + 3x = 1 + -6 + x Combine like terms: 1 + -6 = -5 -15 + 3x = -5 + x Solving -15 + 3x = -5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -15 + 3x + -1x = -5 + x + -1x Combine like terms: 3x + -1x = 2x -15 + 2x = -5 + x + -1x Combine like terms: x + -1x = 0 -15 + 2x = -5 + 0 -15 + 2x = -5 Add '15' to each side of the equation. -15 + 15 + 2x = -5 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = -5 + 15 2x = -5 + 15 Combine like terms: -5 + 15 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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