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Simplifying 6(x + -6) = 3(x + -15) Reorder the terms: 6(-6 + x) = 3(x + -15) (-6 * 6 + x * 6) = 3(x + -15) (-36 + 6x) = 3(x + -15) Reorder the terms: -36 + 6x = 3(-15 + x) -36 + 6x = (-15 * 3 + x * 3) -36 + 6x = (-45 + 3x) Solving -36 + 6x = -45 + 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 = -45 + 3x + -3x Combine like terms: 6x + -3x = 3x -36 + 3x = -45 + 3x + -3x Combine like terms: 3x + -3x = 0 -36 + 3x = -45 + 0 -36 + 3x = -45 Add '36' to each side of the equation. -36 + 36 + 3x = -45 + 36 Combine like terms: -36 + 36 = 0 0 + 3x = -45 + 36 3x = -45 + 36 Combine like terms: -45 + 36 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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