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Simplifying 2(x + -7) + -2 = 54 + -5x Reorder the terms: 2(-7 + x) + -2 = 54 + -5x (-7 * 2 + x * 2) + -2 = 54 + -5x (-14 + 2x) + -2 = 54 + -5x Reorder the terms: -14 + -2 + 2x = 54 + -5x Combine like terms: -14 + -2 = -16 -16 + 2x = 54 + -5x Solving -16 + 2x = 54 + -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 + 2x + 5x = 54 + -5x + 5x Combine like terms: 2x + 5x = 7x -16 + 7x = 54 + -5x + 5x Combine like terms: -5x + 5x = 0 -16 + 7x = 54 + 0 -16 + 7x = 54 Add '16' to each side of the equation. -16 + 16 + 7x = 54 + 16 Combine like terms: -16 + 16 = 0 0 + 7x = 54 + 16 7x = 54 + 16 Combine like terms: 54 + 16 = 70 7x = 70 Divide each side by '7'. x = 10 Simplifying x = 10
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