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Simplifying 2(x + -5) + -45 = 17 + -7x Reorder the terms: 2(-5 + x) + -45 = 17 + -7x (-5 * 2 + x * 2) + -45 = 17 + -7x (-10 + 2x) + -45 = 17 + -7x Reorder the terms: -10 + -45 + 2x = 17 + -7x Combine like terms: -10 + -45 = -55 -55 + 2x = 17 + -7x Solving -55 + 2x = 17 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -55 + 2x + 7x = 17 + -7x + 7x Combine like terms: 2x + 7x = 9x -55 + 9x = 17 + -7x + 7x Combine like terms: -7x + 7x = 0 -55 + 9x = 17 + 0 -55 + 9x = 17 Add '55' to each side of the equation. -55 + 55 + 9x = 17 + 55 Combine like terms: -55 + 55 = 0 0 + 9x = 17 + 55 9x = 17 + 55 Combine like terms: 17 + 55 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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