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Simplifying -14 + 3(x + 10) = -8 + -2(p + 12) Reorder the terms: -14 + 3(10 + x) = -8 + -2(p + 12) -14 + (10 * 3 + x * 3) = -8 + -2(p + 12) -14 + (30 + 3x) = -8 + -2(p + 12) Combine like terms: -14 + 30 = 16 16 + 3x = -8 + -2(p + 12) Reorder the terms: 16 + 3x = -8 + -2(12 + p) 16 + 3x = -8 + (12 * -2 + p * -2) 16 + 3x = -8 + (-24 + -2p) Combine like terms: -8 + -24 = -32 16 + 3x = -32 + -2p Solving 16 + 3x = -32 + -2p Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 3x = -32 + -16 + -2p Combine like terms: 16 + -16 = 0 0 + 3x = -32 + -16 + -2p 3x = -32 + -16 + -2p Combine like terms: -32 + -16 = -48 3x = -48 + -2p Divide each side by '3'. x = -16 + -0.6666666667p Simplifying x = -16 + -0.6666666667p
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