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Simplifying 3(x + -5) = -6(x + 4) Reorder the terms: 3(-5 + x) = -6(x + 4) (-5 * 3 + x * 3) = -6(x + 4) (-15 + 3x) = -6(x + 4) Reorder the terms: -15 + 3x = -6(4 + x) -15 + 3x = (4 * -6 + x * -6) -15 + 3x = (-24 + -6x) Solving -15 + 3x = -24 + -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 = -24 + -6x + 6x Combine like terms: 3x + 6x = 9x -15 + 9x = -24 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 + 9x = -24 + 0 -15 + 9x = -24 Add '15' to each side of the equation. -15 + 15 + 9x = -24 + 15 Combine like terms: -15 + 15 = 0 0 + 9x = -24 + 15 9x = -24 + 15 Combine like terms: -24 + 15 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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