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Simplifying -2x + 10 = 3x + 45 Reorder the terms: 10 + -2x = 3x + 45 Reorder the terms: 10 + -2x = 45 + 3x Solving 10 + -2x = 45 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + -2x + -3x = 45 + 3x + -3x Combine like terms: -2x + -3x = -5x 10 + -5x = 45 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -5x = 45 + 0 10 + -5x = 45 Add '-10' to each side of the equation. 10 + -10 + -5x = 45 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = 45 + -10 -5x = 45 + -10 Combine like terms: 45 + -10 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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