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Simplifying 7x + 6 + -6x = 45 + -7x Reorder the terms: 6 + 7x + -6x = 45 + -7x Combine like terms: 7x + -6x = 1x 6 + 1x = 45 + -7x Solving 6 + 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. 6 + 1x + 7x = 45 + -7x + 7x Combine like terms: 1x + 7x = 8x 6 + 8x = 45 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + 8x = 45 + 0 6 + 8x = 45 Add '-6' to each side of the equation. 6 + -6 + 8x = 45 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 45 + -6 8x = 45 + -6 Combine like terms: 45 + -6 = 39 8x = 39 Divide each side by '8'. x = 4.875 Simplifying x = 4.875
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