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Simplifying 6(x + -1) = 3(x + -5) Reorder the terms: 6(-1 + x) = 3(x + -5) (-1 * 6 + x * 6) = 3(x + -5) (-6 + 6x) = 3(x + -5) Reorder the terms: -6 + 6x = 3(-5 + x) -6 + 6x = (-5 * 3 + x * 3) -6 + 6x = (-15 + 3x) Solving -6 + 6x = -15 + 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. -6 + 6x + -3x = -15 + 3x + -3x Combine like terms: 6x + -3x = 3x -6 + 3x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 3x = -15 + 0 -6 + 3x = -15 Add '6' to each side of the equation. -6 + 6 + 3x = -15 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = -15 + 6 3x = -15 + 6 Combine like terms: -15 + 6 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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