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Simplifying 2 + 3(3x + -6) = 5(x + -3) + 15 Reorder the terms: 2 + 3(-6 + 3x) = 5(x + -3) + 15 2 + (-6 * 3 + 3x * 3) = 5(x + -3) + 15 2 + (-18 + 9x) = 5(x + -3) + 15 Combine like terms: 2 + -18 = -16 -16 + 9x = 5(x + -3) + 15 Reorder the terms: -16 + 9x = 5(-3 + x) + 15 -16 + 9x = (-3 * 5 + x * 5) + 15 -16 + 9x = (-15 + 5x) + 15 Reorder the terms: -16 + 9x = -15 + 15 + 5x Combine like terms: -15 + 15 = 0 -16 + 9x = 0 + 5x -16 + 9x = 5x Solving -16 + 9x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -16 + 9x + -5x = 5x + -5x Combine like terms: 9x + -5x = 4x -16 + 4x = 5x + -5x Combine like terms: 5x + -5x = 0 -16 + 4x = 0 Add '16' to each side of the equation. -16 + 16 + 4x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = 0 + 16 4x = 0 + 16 Combine like terms: 0 + 16 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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