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Simplifying 7x + 10 = -2x + 55 Reorder the terms: 10 + 7x = -2x + 55 Reorder the terms: 10 + 7x = 55 + -2x Solving 10 + 7x = 55 + -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 = 55 + -2x + 2x Combine like terms: 7x + 2x = 9x 10 + 9x = 55 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 9x = 55 + 0 10 + 9x = 55 Add '-10' to each side of the equation. 10 + -10 + 9x = 55 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = 55 + -10 9x = 55 + -10 Combine like terms: 55 + -10 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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