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Simplifying 3(x + -5) = 6x + 6 Reorder the terms: 3(-5 + x) = 6x + 6 (-5 * 3 + x * 3) = 6x + 6 (-15 + 3x) = 6x + 6 Reorder the terms: -15 + 3x = 6 + 6x Solving -15 + 3x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -15 + 3x + -6x = 6 + 6x + -6x Combine like terms: 3x + -6x = -3x -15 + -3x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -3x = 6 + 0 -15 + -3x = 6 Add '15' to each side of the equation. -15 + 15 + -3x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = 6 + 15 -3x = 6 + 15 Combine like terms: 6 + 15 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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