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Simplifying 3(3x + -15) = 6(x + -15) Reorder the terms: 3(-15 + 3x) = 6(x + -15) (-15 * 3 + 3x * 3) = 6(x + -15) (-45 + 9x) = 6(x + -15) Reorder the terms: -45 + 9x = 6(-15 + x) -45 + 9x = (-15 * 6 + x * 6) -45 + 9x = (-90 + 6x) Solving -45 + 9x = -90 + 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. -45 + 9x + -6x = -90 + 6x + -6x Combine like terms: 9x + -6x = 3x -45 + 3x = -90 + 6x + -6x Combine like terms: 6x + -6x = 0 -45 + 3x = -90 + 0 -45 + 3x = -90 Add '45' to each side of the equation. -45 + 45 + 3x = -90 + 45 Combine like terms: -45 + 45 = 0 0 + 3x = -90 + 45 3x = -90 + 45 Combine like terms: -90 + 45 = -45 3x = -45 Divide each side by '3'. x = -15 Simplifying x = -15
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