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Simplifying -45 + -7x = 10x + 23 Reorder the terms: -45 + -7x = 23 + 10x Solving -45 + -7x = 23 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -45 + -7x + -10x = 23 + 10x + -10x Combine like terms: -7x + -10x = -17x -45 + -17x = 23 + 10x + -10x Combine like terms: 10x + -10x = 0 -45 + -17x = 23 + 0 -45 + -17x = 23 Add '45' to each side of the equation. -45 + 45 + -17x = 23 + 45 Combine like terms: -45 + 45 = 0 0 + -17x = 23 + 45 -17x = 23 + 45 Combine like terms: 23 + 45 = 68 -17x = 68 Divide each side by '-17'. x = -4 Simplifying x = -4
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