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Simplifying 2 + 3(3x + -6) = (x + -3) + 15 Reorder the terms: 2 + 3(-6 + 3x) = (x + -3) + 15 2 + (-6 * 3 + 3x * 3) = (x + -3) + 15 2 + (-18 + 9x) = (x + -3) + 15 Combine like terms: 2 + -18 = -16 -16 + 9x = (x + -3) + 15 Reorder the terms: -16 + 9x = (-3 + x) + 15 Remove parenthesis around (-3 + x) -16 + 9x = -3 + x + 15 Reorder the terms: -16 + 9x = -3 + 15 + x Combine like terms: -3 + 15 = 12 -16 + 9x = 12 + x Solving -16 + 9x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -16 + 9x + -1x = 12 + x + -1x Combine like terms: 9x + -1x = 8x -16 + 8x = 12 + x + -1x Combine like terms: x + -1x = 0 -16 + 8x = 12 + 0 -16 + 8x = 12 Add '16' to each side of the equation. -16 + 16 + 8x = 12 + 16 Combine like terms: -16 + 16 = 0 0 + 8x = 12 + 16 8x = 12 + 16 Combine like terms: 12 + 16 = 28 8x = 28 Divide each side by '8'. x = 3.5 Simplifying x = 3.5
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