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