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Simplifying 5(x + -2) = 54 + -3x Reorder the terms: 5(-2 + x) = 54 + -3x (-2 * 5 + x * 5) = 54 + -3x (-10 + 5x) = 54 + -3x Solving -10 + 5x = 54 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -10 + 5x + 3x = 54 + -3x + 3x Combine like terms: 5x + 3x = 8x -10 + 8x = 54 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 8x = 54 + 0 -10 + 8x = 54 Add '10' to each side of the equation. -10 + 10 + 8x = 54 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = 54 + 10 8x = 54 + 10 Combine like terms: 54 + 10 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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