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Simplifying 6(x + -6) = -3(x + -3) Reorder the terms: 6(-6 + x) = -3(x + -3) (-6 * 6 + x * 6) = -3(x + -3) (-36 + 6x) = -3(x + -3) Reorder the terms: -36 + 6x = -3(-3 + x) -36 + 6x = (-3 * -3 + x * -3) -36 + 6x = (9 + -3x) Solving -36 + 6x = 9 + -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. -36 + 6x + 3x = 9 + -3x + 3x Combine like terms: 6x + 3x = 9x -36 + 9x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 -36 + 9x = 9 + 0 -36 + 9x = 9 Add '36' to each side of the equation. -36 + 36 + 9x = 9 + 36 Combine like terms: -36 + 36 = 0 0 + 9x = 9 + 36 9x = 9 + 36 Combine like terms: 9 + 36 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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