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Simplifying -3(x + 5) + 9 = 3(p + -2) + 6 Reorder the terms: -3(5 + x) + 9 = 3(p + -2) + 6 (5 * -3 + x * -3) + 9 = 3(p + -2) + 6 (-15 + -3x) + 9 = 3(p + -2) + 6 Reorder the terms: -15 + 9 + -3x = 3(p + -2) + 6 Combine like terms: -15 + 9 = -6 -6 + -3x = 3(p + -2) + 6 Reorder the terms: -6 + -3x = 3(-2 + p) + 6 -6 + -3x = (-2 * 3 + p * 3) + 6 -6 + -3x = (-6 + 3p) + 6 Reorder the terms: -6 + -3x = -6 + 6 + 3p Combine like terms: -6 + 6 = 0 -6 + -3x = 0 + 3p -6 + -3x = 3p Solving -6 + -3x = 3p Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -3x = 6 + 3p Combine like terms: -6 + 6 = 0 0 + -3x = 6 + 3p -3x = 6 + 3p Divide each side by '-3'. x = -2 + -1p Simplifying x = -2 + -1p
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