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Simplifying 7x + 4 = -2x + 13 Reorder the terms: 4 + 7x = -2x + 13 Reorder the terms: 4 + 7x = 13 + -2x Solving 4 + 7x = 13 + -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. 4 + 7x + 2x = 13 + -2x + 2x Combine like terms: 7x + 2x = 9x 4 + 9x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 9x = 13 + 0 4 + 9x = 13 Add '-4' to each side of the equation. 4 + -4 + 9x = 13 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 13 + -4 9x = 13 + -4 Combine like terms: 13 + -4 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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