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Simplifying 2x + 5 + -1x = 45 + -7x Reorder the terms: 5 + 2x + -1x = 45 + -7x Combine like terms: 2x + -1x = 1x 5 + 1x = 45 + -7x Solving 5 + 1x = 45 + -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. 5 + 1x + 7x = 45 + -7x + 7x Combine like terms: 1x + 7x = 8x 5 + 8x = 45 + -7x + 7x Combine like terms: -7x + 7x = 0 5 + 8x = 45 + 0 5 + 8x = 45 Add '-5' to each side of the equation. 5 + -5 + 8x = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 45 + -5 8x = 45 + -5 Combine like terms: 45 + -5 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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