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Simplifying 10 + -7x = 2x + -45 Reorder the terms: 10 + -7x = -45 + 2x Solving 10 + -7x = -45 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10 + -7x + -2x = -45 + 2x + -2x Combine like terms: -7x + -2x = -9x 10 + -9x = -45 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -9x = -45 + 0 10 + -9x = -45 Add '-10' to each side of the equation. 10 + -10 + -9x = -45 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = -45 + -10 -9x = -45 + -10 Combine like terms: -45 + -10 = -55 -9x = -55 Divide each side by '-9'. x = 6.111111111 Simplifying x = 6.111111111
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